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Finding the Fourth Proportional to 132.69, 197.72 and 130.40

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Solution

The fourth proportional to 132.69, 197.72 and 130.40 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.69 : 197.72 = 130.40 : x
  2. Step 2: Convert to fraction form
    132.69/197.72 = 130.40/x
  3. Step 3: Cross multiply
    132.69x = 197.72 × 130.40
  4. Step 4: Simplify right side
    132.69x = 25,781.05
  5. Step 5: Solve for x
    x = 25,781.05/132.69
  6. Step 6: Final answer
    x = 194.30

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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.