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Finding the Fourth Proportional to 497.38, 744.84 and 281.10

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Solution

The fourth proportional to 497.38, 744.84 and 281.10 is: 420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 744.84 = 281.10 : x
  2. Step 2: Convert to fraction form
    497.38/744.84 = 281.10/x
  3. Step 3: Cross multiply
    497.38x = 744.84 × 281.10
  4. Step 4: Simplify right side
    497.38x = 209,374.52
  5. Step 5: Solve for x
    x = 209,374.52/497.38
  6. Step 6: Final answer
    x = 420.95

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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.