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Finding the Fourth Proportional to 132.53, 198.65 and 55.45

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Solution

The fourth proportional to 132.53, 198.65 and 55.45 is: 83.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 198.65 = 55.45 : x
  2. Step 2: Convert to fraction form
    132.53/198.65 = 55.45/x
  3. Step 3: Cross multiply
    132.53x = 198.65 × 55.45
  4. Step 4: Simplify right side
    132.53x = 11,015.14
  5. Step 5: Solve for x
    x = 11,015.14/132.53
  6. Step 6: Final answer
    x = 83.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.