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Finding the Fourth Proportional to 132.68, 197.45 and 131.33

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Solution

The fourth proportional to 132.68, 197.45 and 131.33 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 197.45 = 131.33 : x
  2. Step 2: Convert to fraction form
    132.68/197.45 = 131.33/x
  3. Step 3: Cross multiply
    132.68x = 197.45 × 131.33
  4. Step 4: Simplify right side
    132.68x = 25,929.46
  5. Step 5: Solve for x
    x = 25,929.46/132.68
  6. Step 6: Final answer
    x = 195.44

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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.