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Finding the Fourth Proportional to 84.27, 116.12 and 64.83

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Solution

The fourth proportional to 84.27, 116.12 and 64.83 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.27 : 116.12 = 64.83 : x
  2. Step 2: Convert to fraction form
    84.27/116.12 = 64.83/x
  3. Step 3: Cross multiply
    84.27x = 116.12 × 64.83
  4. Step 4: Simplify right side
    84.27x = 7,527.74
  5. Step 5: Solve for x
    x = 7,527.74/84.27
  6. Step 6: Final answer
    x = 89.33

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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.