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Finding the Fourth Proportional to 84.16, 116.17 and 65.77

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Solution

The fourth proportional to 84.16, 116.17 and 65.77 is: 90.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.17 = 65.77 : x
  2. Step 2: Convert to fraction form
    84.16/116.17 = 65.77/x
  3. Step 3: Cross multiply
    84.16x = 116.17 × 65.77
  4. Step 4: Simplify right side
    84.16x = 7,640.05
  5. Step 5: Solve for x
    x = 7,640.05/84.16
  6. Step 6: Final answer
    x = 90.78

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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.