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Finding the Fourth Proportional to 502.28, 752.94 and 193.90

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Solution

The fourth proportional to 502.28, 752.94 and 193.90 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 752.94 = 193.90 : x
  2. Step 2: Convert to fraction form
    502.28/752.94 = 193.90/x
  3. Step 3: Cross multiply
    502.28x = 752.94 × 193.90
  4. Step 4: Simplify right side
    502.28x = 145,991.30
  5. Step 5: Solve for x
    x = 145,991.30/502.28
  6. Step 6: Final answer
    x = 290.66

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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.