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Finding the Fourth Proportional to 80.51, 120.72 and 32.38

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Solution

The fourth proportional to 80.51, 120.72 and 32.38 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.51 : 120.72 = 32.38 : x
  2. Step 2: Convert to fraction form
    80.51/120.72 = 32.38/x
  3. Step 3: Cross multiply
    80.51x = 120.72 × 32.38
  4. Step 4: Simplify right side
    80.51x = 3,908.31
  5. Step 5: Solve for x
    x = 3,908.31/80.51
  6. Step 6: Final answer
    x = 48.55

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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.