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Finding the Fourth Proportional to 132.81, 198.42 and 130.25

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Solution

The fourth proportional to 132.81, 198.42 and 130.25 is: 194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 198.42 = 130.25 : x
  2. Step 2: Convert to fraction form
    132.81/198.42 = 130.25/x
  3. Step 3: Cross multiply
    132.81x = 198.42 × 130.25
  4. Step 4: Simplify right side
    132.81x = 25,845.17
  5. Step 5: Solve for x
    x = 25,845.17/132.81
  6. Step 6: Final answer
    x = 194.60

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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.