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Finding the Fourth Proportional to 257.62, 386.15 and 84.24

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Solution

The fourth proportional to 257.62, 386.15 and 84.24 is: 126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.62 : 386.15 = 84.24 : x
  2. Step 2: Convert to fraction form
    257.62/386.15 = 84.24/x
  3. Step 3: Cross multiply
    257.62x = 386.15 × 84.24
  4. Step 4: Simplify right side
    257.62x = 32,528.69
  5. Step 5: Solve for x
    x = 32,528.69/257.62
  6. Step 6: Final answer
    x = 126.27

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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.