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Finding the Fourth Proportional to 132.45, 197.62 and 118.77

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Solution

The fourth proportional to 132.45, 197.62 and 118.77 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.45 : 197.62 = 118.77 : x
  2. Step 2: Convert to fraction form
    132.45/197.62 = 118.77/x
  3. Step 3: Cross multiply
    132.45x = 197.62 × 118.77
  4. Step 4: Simplify right side
    132.45x = 23,471.33
  5. Step 5: Solve for x
    x = 23,471.33/132.45
  6. Step 6: Final answer
    x = 177.21

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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.