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Finding the Fourth Proportional to 132.78, 198.34 and 132.15

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Solution

The fourth proportional to 132.78, 198.34 and 132.15 is: 197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 198.34 = 132.15 : x
  2. Step 2: Convert to fraction form
    132.78/198.34 = 132.15/x
  3. Step 3: Cross multiply
    132.78x = 198.34 × 132.15
  4. Step 4: Simplify right side
    132.78x = 26,210.63
  5. Step 5: Solve for x
    x = 26,210.63/132.78
  6. Step 6: Final answer
    x = 197.40

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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.