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Finding the Fourth Proportional to 133.96, 185.01 and 90.22

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Solution

The fourth proportional to 133.96, 185.01 and 90.22 is: 124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 185.01 = 90.22 : x
  2. Step 2: Convert to fraction form
    133.96/185.01 = 90.22/x
  3. Step 3: Cross multiply
    133.96x = 185.01 × 90.22
  4. Step 4: Simplify right side
    133.96x = 16,691.60
  5. Step 5: Solve for x
    x = 16,691.60/133.96
  6. Step 6: Final answer
    x = 124.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.