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Finding the Fourth Proportional to 83.29, 114.85 and 64.84

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Solution

The fourth proportional to 83.29, 114.85 and 64.84 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 114.85 = 64.84 : x
  2. Step 2: Convert to fraction form
    83.29/114.85 = 64.84/x
  3. Step 3: Cross multiply
    83.29x = 114.85 × 64.84
  4. Step 4: Simplify right side
    83.29x = 7,446.87
  5. Step 5: Solve for x
    x = 7,446.87/83.29
  6. Step 6: Final answer
    x = 89.41

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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.