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Finding the Fourth Proportional to 458.09, 686.95 and 165.53

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Solution

The fourth proportional to 458.09, 686.95 and 165.53 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 686.95 = 165.53 : x
  2. Step 2: Convert to fraction form
    458.09/686.95 = 165.53/x
  3. Step 3: Cross multiply
    458.09x = 686.95 × 165.53
  4. Step 4: Simplify right side
    458.09x = 113,706.57
  5. Step 5: Solve for x
    x = 113,706.57/458.09
  6. Step 6: Final answer
    x = 248.22

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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.