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Finding the Fourth Proportional to 132.42, 199.36 and 121.26

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Solution

The fourth proportional to 132.42, 199.36 and 121.26 is: 182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 199.36 = 121.26 : x
  2. Step 2: Convert to fraction form
    132.42/199.36 = 121.26/x
  3. Step 3: Cross multiply
    132.42x = 199.36 × 121.26
  4. Step 4: Simplify right side
    132.42x = 24,174.39
  5. Step 5: Solve for x
    x = 24,174.39/132.42
  6. Step 6: Final answer
    x = 182.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.