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Finding the Fourth Proportional to 502.54, 693.50 and 281.49

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Solution

The fourth proportional to 502.54, 693.50 and 281.49 is: 388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.54 : 693.50 = 281.49 : x
  2. Step 2: Convert to fraction form
    502.54/693.50 = 281.49/x
  3. Step 3: Cross multiply
    502.54x = 693.50 × 281.49
  4. Step 4: Simplify right side
    502.54x = 195,214.02
  5. Step 5: Solve for x
    x = 195,214.02/502.54
  6. Step 6: Final answer
    x = 388.46

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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.