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Finding the Fourth Proportional to 116.12, 160.18 and 83.40

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Solution

The fourth proportional to 116.12, 160.18 and 83.40 is: 115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 160.18 = 83.40 : x
  2. Step 2: Convert to fraction form
    116.12/160.18 = 83.40/x
  3. Step 3: Cross multiply
    116.12x = 160.18 × 83.40
  4. Step 4: Simplify right side
    116.12x = 13,359.01
  5. Step 5: Solve for x
    x = 13,359.01/116.12
  6. Step 6: Final answer
    x = 115.04

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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.