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Finding the Fourth Proportional to 133.47, 200.25 and 132.57

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Solution

The fourth proportional to 133.47, 200.25 and 132.57 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.47 : 200.25 = 132.57 : x
  2. Step 2: Convert to fraction form
    133.47/200.25 = 132.57/x
  3. Step 3: Cross multiply
    133.47x = 200.25 × 132.57
  4. Step 4: Simplify right side
    133.47x = 26,547.14
  5. Step 5: Solve for x
    x = 26,547.14/133.47
  6. Step 6: Final answer
    x = 198.90

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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.