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Finding the Fourth Proportional to 84.85, 127.15 and 38.55

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Solution

The fourth proportional to 84.85, 127.15 and 38.55 is: 57.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 127.15 = 38.55 : x
  2. Step 2: Convert to fraction form
    84.85/127.15 = 38.55/x
  3. Step 3: Cross multiply
    84.85x = 127.15 × 38.55
  4. Step 4: Simplify right side
    84.85x = 4,901.63
  5. Step 5: Solve for x
    x = 4,901.63/84.85
  6. Step 6: Final answer
    x = 57.77

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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.