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Finding the Fourth Proportional to 457.71, 686.38 and 165.19

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Solution

The fourth proportional to 457.71, 686.38 and 165.19 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.71 : 686.38 = 165.19 : x
  2. Step 2: Convert to fraction form
    457.71/686.38 = 165.19/x
  3. Step 3: Cross multiply
    457.71x = 686.38 × 165.19
  4. Step 4: Simplify right side
    457.71x = 113,378.85
  5. Step 5: Solve for x
    x = 113,378.85/457.71
  6. Step 6: Final answer
    x = 247.71

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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.