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Finding the Fourth Proportional to 502.11, 752.58 and 209.45

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Solution

The fourth proportional to 502.11, 752.58 and 209.45 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.11 : 752.58 = 209.45 : x
  2. Step 2: Convert to fraction form
    502.11/752.58 = 209.45/x
  3. Step 3: Cross multiply
    502.11x = 752.58 × 209.45
  4. Step 4: Simplify right side
    502.11x = 157,624.12
  5. Step 5: Solve for x
    x = 157,624.12/502.11
  6. Step 6: Final answer
    x = 313.92

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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.