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Finding the Fourth Proportional to 90.96, 126.18 and 84.90

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Solution

The fourth proportional to 90.96, 126.18 and 84.90 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.96 : 126.18 = 84.90 : x
  2. Step 2: Convert to fraction form
    90.96/126.18 = 84.90/x
  3. Step 3: Cross multiply
    90.96x = 126.18 × 84.90
  4. Step 4: Simplify right side
    90.96x = 10,712.68
  5. Step 5: Solve for x
    x = 10,712.68/90.96
  6. Step 6: Final answer
    x = 117.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.