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Finding the Fourth Proportional to 132.08, 196.44 and 130.76

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Solution

The fourth proportional to 132.08, 196.44 and 130.76 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 196.44 = 130.76 : x
  2. Step 2: Convert to fraction form
    132.08/196.44 = 130.76/x
  3. Step 3: Cross multiply
    132.08x = 196.44 × 130.76
  4. Step 4: Simplify right side
    132.08x = 25,686.49
  5. Step 5: Solve for x
    x = 25,686.49/132.08
  6. Step 6: Final answer
    x = 194.48

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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.