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Finding the Fourth Proportional to 133.62, 200.42 and 37.43

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Solution

The fourth proportional to 133.62, 200.42 and 37.43 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.62 : 200.42 = 37.43 : x
  2. Step 2: Convert to fraction form
    133.62/200.42 = 37.43/x
  3. Step 3: Cross multiply
    133.62x = 200.42 × 37.43
  4. Step 4: Simplify right side
    133.62x = 7,501.72
  5. Step 5: Solve for x
    x = 7,501.72/133.62
  6. Step 6: Final answer
    x = 56.14

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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.