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Finding the Fourth Proportional to 502.25, 693.17 and 281.26

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Solution

The fourth proportional to 502.25, 693.17 and 281.26 is: 388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 693.17 = 281.26 : x
  2. Step 2: Convert to fraction form
    502.25/693.17 = 281.26/x
  3. Step 3: Cross multiply
    502.25x = 693.17 × 281.26
  4. Step 4: Simplify right side
    502.25x = 194,956.12
  5. Step 5: Solve for x
    x = 194,956.12/502.25
  6. Step 6: Final answer
    x = 388.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.