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Finding the Fourth Proportional to 549.96, 824.22 and 275.37

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Solution

The fourth proportional to 549.96, 824.22 and 275.37 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.96 : 824.22 = 275.37 : x
  2. Step 2: Convert to fraction form
    549.96/824.22 = 275.37/x
  3. Step 3: Cross multiply
    549.96x = 824.22 × 275.37
  4. Step 4: Simplify right side
    549.96x = 226,965.46
  5. Step 5: Solve for x
    x = 226,965.46/549.96
  6. Step 6: Final answer
    x = 412.69

Related Problems

Find fourth proportional to 274.98, 412.11 and 137.69
Half scale
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Double scale
Find fourth proportional to 550.96, 825.72 and 276.37
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.