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Finding the Fourth Proportional to 84, 116.39 and 83.56

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Solution

The fourth proportional to 84, 116.39 and 83.56 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 116.39 = 83.56 : x
  2. Step 2: Convert to fraction form
    84/116.39 = 83.56/x
  3. Step 3: Cross multiply
    84x = 116.39 × 83.56
  4. Step 4: Simplify right side
    84x = 9,725.55
  5. Step 5: Solve for x
    x = 9,725.55/84
  6. Step 6: Final answer
    x = 115.78

Related Problems

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1.5x scale

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.