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Finding the Fourth Proportional to 116.20, 160.02 and 83.40

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Solution

The fourth proportional to 116.20, 160.02 and 83.40 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 160.02 = 83.40 : x
  2. Step 2: Convert to fraction form
    116.20/160.02 = 83.40/x
  3. Step 3: Cross multiply
    116.20x = 160.02 × 83.40
  4. Step 4: Simplify right side
    116.20x = 13,345.67
  5. Step 5: Solve for x
    x = 13,345.67/116.20
  6. Step 6: Final answer
    x = 114.85

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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.