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Finding the Fourth Proportional to 80.01, 120.01 and 28.64

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Solution

The fourth proportional to 80.01, 120.01 and 28.64 is: 42.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.01 : 120.01 = 28.64 : x
  2. Step 2: Convert to fraction form
    80.01/120.01 = 28.64/x
  3. Step 3: Cross multiply
    80.01x = 120.01 × 28.64
  4. Step 4: Simplify right side
    80.01x = 3,437.09
  5. Step 5: Solve for x
    x = 3,437.09/80.01
  6. Step 6: Final answer
    x = 42.96

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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.