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Finding the Fourth Proportional to 258.58, 387.24 and 167.14

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Solution

The fourth proportional to 258.58, 387.24 and 167.14 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.58 : 387.24 = 167.14 : x
  2. Step 2: Convert to fraction form
    258.58/387.24 = 167.14/x
  3. Step 3: Cross multiply
    258.58x = 387.24 × 167.14
  4. Step 4: Simplify right side
    258.58x = 64,723.29
  5. Step 5: Solve for x
    x = 64,723.29/258.58
  6. Step 6: Final answer
    x = 250.30

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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.