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Finding the Fourth Proportional to 548.19, 822.40 and 274.29

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Solution

The fourth proportional to 548.19, 822.40 and 274.29 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 822.40 = 274.29 : x
  2. Step 2: Convert to fraction form
    548.19/822.40 = 274.29/x
  3. Step 3: Cross multiply
    548.19x = 822.40 × 274.29
  4. Step 4: Simplify right side
    548.19x = 225,573.87
  5. Step 5: Solve for x
    x = 225,573.87/548.19
  6. Step 6: Final answer
    x = 411.49

Related Problems

Find fourth proportional to 274.10, 411.20 and 137.14
Half scale
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Double scale
Find fourth proportional to 549.19, 823.90 and 275.29
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.