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Finding the Fourth Proportional to 86.99, 120.02 and 80.44

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Solution

The fourth proportional to 86.99, 120.02 and 80.44 is: 110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 120.02 = 80.44 : x
  2. Step 2: Convert to fraction form
    86.99/120.02 = 80.44/x
  3. Step 3: Cross multiply
    86.99x = 120.02 × 80.44
  4. Step 4: Simplify right side
    86.99x = 9,653.71
  5. Step 5: Solve for x
    x = 9,653.71/86.99
  6. Step 6: Final answer
    x = 110.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.