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Finding the Fourth Proportional to 132.90, 198.64 and 130.16

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Solution

The fourth proportional to 132.90, 198.64 and 130.16 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.90 : 198.64 = 130.16 : x
  2. Step 2: Convert to fraction form
    132.90/198.64 = 130.16/x
  3. Step 3: Cross multiply
    132.90x = 198.64 × 130.16
  4. Step 4: Simplify right side
    132.90x = 25,854.98
  5. Step 5: Solve for x
    x = 25,854.98/132.90
  6. Step 6: Final answer
    x = 194.54

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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.