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Finding the Fourth Proportional to 132.81, 198.30 and 118.19

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Solution

The fourth proportional to 132.81, 198.30 and 118.19 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 198.30 = 118.19 : x
  2. Step 2: Convert to fraction form
    132.81/198.30 = 118.19/x
  3. Step 3: Cross multiply
    132.81x = 198.30 × 118.19
  4. Step 4: Simplify right side
    132.81x = 23,437.35
  5. Step 5: Solve for x
    x = 23,437.35/132.81
  6. Step 6: Final answer
    x = 176.48

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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.