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Finding the Fourth Proportional to 257.50, 386 and 86.38

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Solution

The fourth proportional to 257.50, 386 and 86.38 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 386 = 86.38 : x
  2. Step 2: Convert to fraction form
    257.50/386 = 86.38/x
  3. Step 3: Cross multiply
    257.50x = 386 × 86.38
  4. Step 4: Simplify right side
    257.50x = 33,340.75
  5. Step 5: Solve for x
    x = 33,340.75/257.50
  6. Step 6: Final answer
    x = 129.48

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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.