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Finding the Fourth Proportional to 548.20, 822.30 and 259.48

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Solution

The fourth proportional to 548.20, 822.30 and 259.48 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.20 : 822.30 = 259.48 : x
  2. Step 2: Convert to fraction form
    548.20/822.30 = 259.48/x
  3. Step 3: Cross multiply
    548.20x = 822.30 × 259.48
  4. Step 4: Simplify right side
    548.20x = 213,370.40
  5. Step 5: Solve for x
    x = 213,370.40/548.20
  6. Step 6: Final answer
    x = 389.22

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Double scale
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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.