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Finding the Fourth Proportional to 258.90, 387.71 and 167.32

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Solution

The fourth proportional to 258.90, 387.71 and 167.32 is: 250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 387.71 = 167.32 : x
  2. Step 2: Convert to fraction form
    258.90/387.71 = 167.32/x
  3. Step 3: Cross multiply
    258.90x = 387.71 × 167.32
  4. Step 4: Simplify right side
    258.90x = 64,869.70
  5. Step 5: Solve for x
    x = 64,869.70/258.90
  6. Step 6: Final answer
    x = 250.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.