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Finding the Fourth Proportional to 132.51, 197.68 and 124.41

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Solution

The fourth proportional to 132.51, 197.68 and 124.41 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 197.68 = 124.41 : x
  2. Step 2: Convert to fraction form
    132.51/197.68 = 124.41/x
  3. Step 3: Cross multiply
    132.51x = 197.68 × 124.41
  4. Step 4: Simplify right side
    132.51x = 24,593.06
  5. Step 5: Solve for x
    x = 24,593.06/132.51
  6. Step 6: Final answer
    x = 185.59

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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.