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Finding the Fourth Proportional to 86.51, 119.60 and 82.87

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Solution

The fourth proportional to 86.51, 119.60 and 82.87 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.51 : 119.60 = 82.87 : x
  2. Step 2: Convert to fraction form
    86.51/119.60 = 82.87/x
  3. Step 3: Cross multiply
    86.51x = 119.60 × 82.87
  4. Step 4: Simplify right side
    86.51x = 9,911.16
  5. Step 5: Solve for x
    x = 9,911.16/86.51
  6. Step 6: Final answer
    x = 114.56

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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.