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Finding the Fourth Proportional to 502.02, 752.85 and 209.49

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Solution

The fourth proportional to 502.02, 752.85 and 209.49 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.02 : 752.85 = 209.49 : x
  2. Step 2: Convert to fraction form
    502.02/752.85 = 209.49/x
  3. Step 3: Cross multiply
    502.02x = 752.85 × 209.49
  4. Step 4: Simplify right side
    502.02x = 157,714.55
  5. Step 5: Solve for x
    x = 157,714.55/502.02
  6. Step 6: Final answer
    x = 314.16

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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.