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Finding the Fourth Proportional to 83.80, 114.65 and 83.44

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Solution

The fourth proportional to 83.80, 114.65 and 83.44 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 114.65 = 83.44 : x
  2. Step 2: Convert to fraction form
    83.80/114.65 = 83.44/x
  3. Step 3: Cross multiply
    83.80x = 114.65 × 83.44
  4. Step 4: Simplify right side
    83.80x = 9,566.40
  5. Step 5: Solve for x
    x = 9,566.40/83.80
  6. Step 6: Final answer
    x = 114.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.