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Finding the Fourth Proportional to 134.20, 199.85 and 132.40

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Solution

The fourth proportional to 134.20, 199.85 and 132.40 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 199.85 = 132.40 : x
  2. Step 2: Convert to fraction form
    134.20/199.85 = 132.40/x
  3. Step 3: Cross multiply
    134.20x = 199.85 × 132.40
  4. Step 4: Simplify right side
    134.20x = 26,460.14
  5. Step 5: Solve for x
    x = 26,460.14/134.20
  6. Step 6: Final answer
    x = 197.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.