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Finding the Fourth Proportional to 457.69, 631.61 and 247.86

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Solution

The fourth proportional to 457.69, 631.61 and 247.86 is: 342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.69 : 631.61 = 247.86 : x
  2. Step 2: Convert to fraction form
    457.69/631.61 = 247.86/x
  3. Step 3: Cross multiply
    457.69x = 631.61 × 247.86
  4. Step 4: Simplify right side
    457.69x = 156,551.26
  5. Step 5: Solve for x
    x = 156,551.26/457.69
  6. Step 6: Final answer
    x = 342.05

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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.