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Finding the Fourth Proportional to 86.25, 119.49 and 84.36

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Solution

The fourth proportional to 86.25, 119.49 and 84.36 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.25 : 119.49 = 84.36 : x
  2. Step 2: Convert to fraction form
    86.25/119.49 = 84.36/x
  3. Step 3: Cross multiply
    86.25x = 119.49 × 84.36
  4. Step 4: Simplify right side
    86.25x = 10,080.18
  5. Step 5: Solve for x
    x = 10,080.18/86.25
  6. Step 6: Final answer
    x = 116.87

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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.