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Finding the Fourth Proportional to 133.74, 200.53 and 75.87

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Solution

The fourth proportional to 133.74, 200.53 and 75.87 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 200.53 = 75.87 : x
  2. Step 2: Convert to fraction form
    133.74/200.53 = 75.87/x
  3. Step 3: Cross multiply
    133.74x = 200.53 × 75.87
  4. Step 4: Simplify right side
    133.74x = 15,214.21
  5. Step 5: Solve for x
    x = 15,214.21/133.74
  6. Step 6: Final answer
    x = 113.76

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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.