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Finding the Fourth Proportional to 257.50, 386.27 and 84.11

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Solution

The fourth proportional to 257.50, 386.27 and 84.11 is: 126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 386.27 = 84.11 : x
  2. Step 2: Convert to fraction form
    257.50/386.27 = 84.11/x
  3. Step 3: Cross multiply
    257.50x = 386.27 × 84.11
  4. Step 4: Simplify right side
    257.50x = 32,491.23
  5. Step 5: Solve for x
    x = 32,491.23/257.50
  6. Step 6: Final answer
    x = 126.18

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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.