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Finding the Fourth Proportional to 83.34, 114.92 and 65.82

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Solution

The fourth proportional to 83.34, 114.92 and 65.82 is: 90.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.34 : 114.92 = 65.82 : x
  2. Step 2: Convert to fraction form
    83.34/114.92 = 65.82/x
  3. Step 3: Cross multiply
    83.34x = 114.92 × 65.82
  4. Step 4: Simplify right side
    83.34x = 7,563.71
  5. Step 5: Solve for x
    x = 7,563.71/83.34
  6. Step 6: Final answer
    x = 90.76

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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.