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Finding the Fourth Proportional to 86.80, 119.62 and 85.24

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Solution

The fourth proportional to 86.80, 119.62 and 85.24 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.80 : 119.62 = 85.24 : x
  2. Step 2: Convert to fraction form
    86.80/119.62 = 85.24/x
  3. Step 3: Cross multiply
    86.80x = 119.62 × 85.24
  4. Step 4: Simplify right side
    86.80x = 10,196.41
  5. Step 5: Solve for x
    x = 10,196.41/86.80
  6. Step 6: Final answer
    x = 117.47

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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.