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Finding the Fourth Proportional to 132.40, 183.68 and 121.60

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Solution

The fourth proportional to 132.40, 183.68 and 121.60 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 183.68 = 121.60 : x
  2. Step 2: Convert to fraction form
    132.40/183.68 = 121.60/x
  3. Step 3: Cross multiply
    132.40x = 183.68 × 121.60
  4. Step 4: Simplify right side
    132.40x = 22,335.49
  5. Step 5: Solve for x
    x = 22,335.49/132.40
  6. Step 6: Final answer
    x = 168.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.