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Finding the Fourth Proportional to 85.28, 127.19 and 76.16

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Solution

The fourth proportional to 85.28, 127.19 and 76.16 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.28 : 127.19 = 76.16 : x
  2. Step 2: Convert to fraction form
    85.28/127.19 = 76.16/x
  3. Step 3: Cross multiply
    85.28x = 127.19 × 76.16
  4. Step 4: Simplify right side
    85.28x = 9,687.30
  5. Step 5: Solve for x
    x = 9,687.30/85.28
  6. Step 6: Final answer
    x = 113.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.