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Finding the Fourth Proportional to 84.14, 126.22 and 77.46

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Solution

The fourth proportional to 84.14, 126.22 and 77.46 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.14 : 126.22 = 77.46 : x
  2. Step 2: Convert to fraction form
    84.14/126.22 = 77.46/x
  3. Step 3: Cross multiply
    84.14x = 126.22 × 77.46
  4. Step 4: Simplify right side
    84.14x = 9,777.00
  5. Step 5: Solve for x
    x = 9,777.00/84.14
  6. Step 6: Final answer
    x = 116.20

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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.