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Finding the Fourth Proportional to 458.65, 688.04 and 166.17

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Solution

The fourth proportional to 458.65, 688.04 and 166.17 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 688.04 = 166.17 : x
  2. Step 2: Convert to fraction form
    458.65/688.04 = 166.17/x
  3. Step 3: Cross multiply
    458.65x = 688.04 × 166.17
  4. Step 4: Simplify right side
    458.65x = 114,333.74
  5. Step 5: Solve for x
    x = 114,333.74/458.65
  6. Step 6: Final answer
    x = 249.28

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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.