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Finding the Fourth Proportional to 132.19, 198.08 and 117.77

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Solution

The fourth proportional to 132.19, 198.08 and 117.77 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 198.08 = 117.77 : x
  2. Step 2: Convert to fraction form
    132.19/198.08 = 117.77/x
  3. Step 3: Cross multiply
    132.19x = 198.08 × 117.77
  4. Step 4: Simplify right side
    132.19x = 23,327.68
  5. Step 5: Solve for x
    x = 23,327.68/132.19
  6. Step 6: Final answer
    x = 176.48

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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.