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Finding the Fourth Proportional to 257.47, 386.12 and 101.26

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Solution

The fourth proportional to 257.47, 386.12 and 101.26 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.47 : 386.12 = 101.26 : x
  2. Step 2: Convert to fraction form
    257.47/386.12 = 101.26/x
  3. Step 3: Cross multiply
    257.47x = 386.12 × 101.26
  4. Step 4: Simplify right side
    257.47x = 39,099.73
  5. Step 5: Solve for x
    x = 39,099.73/257.47
  6. Step 6: Final answer
    x = 151.86

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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.