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Finding the Fourth Proportional to 83.53, 114.36 and 83.23

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Solution

The fourth proportional to 83.53, 114.36 and 83.23 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.53 : 114.36 = 83.23 : x
  2. Step 2: Convert to fraction form
    83.53/114.36 = 83.23/x
  3. Step 3: Cross multiply
    83.53x = 114.36 × 83.23
  4. Step 4: Simplify right side
    83.53x = 9,518.23
  5. Step 5: Solve for x
    x = 9,518.23/83.53
  6. Step 6: Final answer
    x = 113.96

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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.