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Finding the Fourth Proportional to 132.58, 198.81 and 55.54

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Solution

The fourth proportional to 132.58, 198.81 and 55.54 is: 83.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.58 : 198.81 = 55.54 : x
  2. Step 2: Convert to fraction form
    132.58/198.81 = 55.54/x
  3. Step 3: Cross multiply
    132.58x = 198.81 × 55.54
  4. Step 4: Simplify right side
    132.58x = 11,041.91
  5. Step 5: Solve for x
    x = 11,041.91/132.58
  6. Step 6: Final answer
    x = 83.28

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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.