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Finding the Fourth Proportional to 458.69, 688.03 and 166.40

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Solution

The fourth proportional to 458.69, 688.03 and 166.40 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 688.03 = 166.40 : x
  2. Step 2: Convert to fraction form
    458.69/688.03 = 166.40/x
  3. Step 3: Cross multiply
    458.69x = 688.03 × 166.40
  4. Step 4: Simplify right side
    458.69x = 114,484.34
  5. Step 5: Solve for x
    x = 114,484.34/458.69
  6. Step 6: Final answer
    x = 249.59

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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.