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Finding the Fourth Proportional to 80.06, 119.79 and 58.32

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Solution

The fourth proportional to 80.06, 119.79 and 58.32 is: 87.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.06 : 119.79 = 58.32 : x
  2. Step 2: Convert to fraction form
    80.06/119.79 = 58.32/x
  3. Step 3: Cross multiply
    80.06x = 119.79 × 58.32
  4. Step 4: Simplify right side
    80.06x = 6,986.15
  5. Step 5: Solve for x
    x = 6,986.15/80.06
  6. Step 6: Final answer
    x = 87.27

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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.