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Finding the Fourth Proportional to 89.74, 133.91 and 84.04

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Solution

The fourth proportional to 89.74, 133.91 and 84.04 is: 125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 133.91 = 84.04 : x
  2. Step 2: Convert to fraction form
    89.74/133.91 = 84.04/x
  3. Step 3: Cross multiply
    89.74x = 133.91 × 84.04
  4. Step 4: Simplify right side
    89.74x = 11,253.80
  5. Step 5: Solve for x
    x = 11,253.80/89.74
  6. Step 6: Final answer
    x = 125.40

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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.