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Finding the Fourth Proportional to 502.15, 693.01 and 281.14

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Solution

The fourth proportional to 502.15, 693.01 and 281.14 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.15 : 693.01 = 281.14 : x
  2. Step 2: Convert to fraction form
    502.15/693.01 = 281.14/x
  3. Step 3: Cross multiply
    502.15x = 693.01 × 281.14
  4. Step 4: Simplify right side
    502.15x = 194,834.56
  5. Step 5: Solve for x
    x = 194,834.56/502.15
  6. Step 6: Final answer
    x = 388.00

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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.