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Finding the Fourth Proportional to 116.32, 160.78 and 83.66

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Solution

The fourth proportional to 116.32, 160.78 and 83.66 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.32 : 160.78 = 83.66 : x
  2. Step 2: Convert to fraction form
    116.32/160.78 = 83.66/x
  3. Step 3: Cross multiply
    116.32x = 160.78 × 83.66
  4. Step 4: Simplify right side
    116.32x = 13,450.85
  5. Step 5: Solve for x
    x = 13,450.85/116.32
  6. Step 6: Final answer
    x = 115.64

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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.