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Finding the Fourth Proportional to 200.86, 301.42 and 132.41

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Solution

The fourth proportional to 200.86, 301.42 and 132.41 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.86 : 301.42 = 132.41 : x
  2. Step 2: Convert to fraction form
    200.86/301.42 = 132.41/x
  3. Step 3: Cross multiply
    200.86x = 301.42 × 132.41
  4. Step 4: Simplify right side
    200.86x = 39,911.02
  5. Step 5: Solve for x
    x = 39,911.02/200.86
  6. Step 6: Final answer
    x = 198.70

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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.