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Finding the Fourth Proportional to 257.39, 386.16 and 127.43

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Solution

The fourth proportional to 257.39, 386.16 and 127.43 is: 191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.39 : 386.16 = 127.43 : x
  2. Step 2: Convert to fraction form
    257.39/386.16 = 127.43/x
  3. Step 3: Cross multiply
    257.39x = 386.16 × 127.43
  4. Step 4: Simplify right side
    257.39x = 49,207.41
  5. Step 5: Solve for x
    x = 49,207.41/257.39
  6. Step 6: Final answer
    x = 191.18

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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.