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Finding the Fourth Proportional to 84.29, 116.29 and 49.31

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Solution

The fourth proportional to 84.29, 116.29 and 49.31 is: 68.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.29 : 116.29 = 49.31 : x
  2. Step 2: Convert to fraction form
    84.29/116.29 = 49.31/x
  3. Step 3: Cross multiply
    84.29x = 116.29 × 49.31
  4. Step 4: Simplify right side
    84.29x = 5,733.71
  5. Step 5: Solve for x
    x = 5,733.71/84.29
  6. Step 6: Final answer
    x = 68.02

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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.