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Finding the Fourth Proportional to 86.00, 119.28 and 82.91

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Solution

The fourth proportional to 86.00, 119.28 and 82.91 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.00 : 119.28 = 82.91 : x
  2. Step 2: Convert to fraction form
    86.00/119.28 = 82.91/x
  3. Step 3: Cross multiply
    86.00x = 119.28 × 82.91
  4. Step 4: Simplify right side
    86.00x = 9,888.91
  5. Step 5: Solve for x
    x = 9,888.91/86.00
  6. Step 6: Final answer
    x = 114.99

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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.