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Finding the Fourth Proportional to 85.26, 127.25 and 74.24

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Solution

The fourth proportional to 85.26, 127.25 and 74.24 is: 110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.26 : 127.25 = 74.24 : x
  2. Step 2: Convert to fraction form
    85.26/127.25 = 74.24/x
  3. Step 3: Cross multiply
    85.26x = 127.25 × 74.24
  4. Step 4: Simplify right side
    85.26x = 9,446.03
  5. Step 5: Solve for x
    x = 9,446.03/85.26
  6. Step 6: Final answer
    x = 110.79

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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.