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Finding the Fourth Proportional to 132.99, 197.98 and 132.27

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Solution

The fourth proportional to 132.99, 197.98 and 132.27 is: 196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.99 : 197.98 = 132.27 : x
  2. Step 2: Convert to fraction form
    132.99/197.98 = 132.27/x
  3. Step 3: Cross multiply
    132.99x = 197.98 × 132.27
  4. Step 4: Simplify right side
    132.99x = 26,186.48
  5. Step 5: Solve for x
    x = 26,186.48/132.99
  6. Step 6: Final answer
    x = 196.91

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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.