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Finding the Fourth Proportional to 120.42, 180.64 and 33.76

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Solution

The fourth proportional to 120.42, 180.64 and 33.76 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 180.64 = 33.76 : x
  2. Step 2: Convert to fraction form
    120.42/180.64 = 33.76/x
  3. Step 3: Cross multiply
    120.42x = 180.64 × 33.76
  4. Step 4: Simplify right side
    120.42x = 6,098.41
  5. Step 5: Solve for x
    x = 6,098.41/120.42
  6. Step 6: Final answer
    x = 50.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.