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Finding the Fourth Proportional to 83.07, 114.42 and 69.26

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Solution

The fourth proportional to 83.07, 114.42 and 69.26 is: 95.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 114.42 = 69.26 : x
  2. Step 2: Convert to fraction form
    83.07/114.42 = 69.26/x
  3. Step 3: Cross multiply
    83.07x = 114.42 × 69.26
  4. Step 4: Simplify right side
    83.07x = 7,924.16
  5. Step 5: Solve for x
    x = 7,924.16/83.07
  6. Step 6: Final answer
    x = 95.39

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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.