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Finding the Fourth Proportional to 542.16, 812.08 and 249.90

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Solution

The fourth proportional to 542.16, 812.08 and 249.90 is: 374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 812.08 = 249.90 : x
  2. Step 2: Convert to fraction form
    542.16/812.08 = 249.90/x
  3. Step 3: Cross multiply
    542.16x = 812.08 × 249.90
  4. Step 4: Simplify right side
    542.16x = 202,934.73
  5. Step 5: Solve for x
    x = 202,934.73/542.16
  6. Step 6: Final answer
    x = 374.31

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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.