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Finding the Fourth Proportional to 83.71, 114.80 and 83.31

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Solution

The fourth proportional to 83.71, 114.80 and 83.31 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 114.80 = 83.31 : x
  2. Step 2: Convert to fraction form
    83.71/114.80 = 83.31/x
  3. Step 3: Cross multiply
    83.71x = 114.80 × 83.31
  4. Step 4: Simplify right side
    83.71x = 9,563.99
  5. Step 5: Solve for x
    x = 9,563.99/83.71
  6. Step 6: Final answer
    x = 114.25

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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.