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Finding the Fourth Proportional to 457.97, 631.99 and 248.15

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Solution

The fourth proportional to 457.97, 631.99 and 248.15 is: 342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.97 : 631.99 = 248.15 : x
  2. Step 2: Convert to fraction form
    457.97/631.99 = 248.15/x
  3. Step 3: Cross multiply
    457.97x = 631.99 × 248.15
  4. Step 4: Simplify right side
    457.97x = 156,825.47
  5. Step 5: Solve for x
    x = 156,825.47/457.97
  6. Step 6: Final answer
    x = 342.44

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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.