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Finding the Fourth Proportional to 458.71, 688.14 and 166.23

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Solution

The fourth proportional to 458.71, 688.14 and 166.23 is: 249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.71 : 688.14 = 166.23 : x
  2. Step 2: Convert to fraction form
    458.71/688.14 = 166.23/x
  3. Step 3: Cross multiply
    458.71x = 688.14 × 166.23
  4. Step 4: Simplify right side
    458.71x = 114,391.47
  5. Step 5: Solve for x
    x = 114,391.47/458.71
  6. Step 6: Final answer
    x = 249.38

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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.