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Finding the Fourth Proportional to 84.80, 116.96 and 53.68

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Solution

The fourth proportional to 84.80, 116.96 and 53.68 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 116.96 = 53.68 : x
  2. Step 2: Convert to fraction form
    84.80/116.96 = 53.68/x
  3. Step 3: Cross multiply
    84.80x = 116.96 × 53.68
  4. Step 4: Simplify right side
    84.80x = 6,278.41
  5. Step 5: Solve for x
    x = 6,278.41/84.80
  6. Step 6: Final answer
    x = 74.04

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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.