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Finding the Fourth Proportional to 85.92, 119.32 and 85.12

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Solution

The fourth proportional to 85.92, 119.32 and 85.12 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 119.32 = 85.12 : x
  2. Step 2: Convert to fraction form
    85.92/119.32 = 85.12/x
  3. Step 3: Cross multiply
    85.92x = 119.32 × 85.12
  4. Step 4: Simplify right side
    85.92x = 10,156.52
  5. Step 5: Solve for x
    x = 10,156.52/85.92
  6. Step 6: Final answer
    x = 118.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.