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Finding the Fourth Proportional to 84.80, 126.64 and 74

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Solution

The fourth proportional to 84.80, 126.64 and 74 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 126.64 = 74 : x
  2. Step 2: Convert to fraction form
    84.80/126.64 = 74/x
  3. Step 3: Cross multiply
    84.80x = 126.64 × 74
  4. Step 4: Simplify right side
    84.80x = 9,371.36
  5. Step 5: Solve for x
    x = 9,371.36/84.80
  6. Step 6: Final answer
    x = 110.51

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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.