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Finding the Fourth Proportional to 458.25, 687.23 and 165.71

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Solution

The fourth proportional to 458.25, 687.23 and 165.71 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 687.23 = 165.71 : x
  2. Step 2: Convert to fraction form
    458.25/687.23 = 165.71/x
  3. Step 3: Cross multiply
    458.25x = 687.23 × 165.71
  4. Step 4: Simplify right side
    458.25x = 113,883.02
  5. Step 5: Solve for x
    x = 113,883.02/458.25
  6. Step 6: Final answer
    x = 248.52

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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.