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Finding the Fourth Proportional to 133.42, 200.21 and 61.29

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Solution

The fourth proportional to 133.42, 200.21 and 61.29 is: 91.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 200.21 = 61.29 : x
  2. Step 2: Convert to fraction form
    133.42/200.21 = 61.29/x
  3. Step 3: Cross multiply
    133.42x = 200.21 × 61.29
  4. Step 4: Simplify right side
    133.42x = 12,269.56
  5. Step 5: Solve for x
    x = 12,269.56/133.42
  6. Step 6: Final answer
    x = 91.96

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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.