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Finding the Fourth Proportional to 84.36, 116.20 and 69.80

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Solution

The fourth proportional to 84.36, 116.20 and 69.80 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.36 : 116.20 = 69.80 : x
  2. Step 2: Convert to fraction form
    84.36/116.20 = 69.80/x
  3. Step 3: Cross multiply
    84.36x = 116.20 × 69.80
  4. Step 4: Simplify right side
    84.36x = 8,110.76
  5. Step 5: Solve for x
    x = 8,110.76/84.36
  6. Step 6: Final answer
    x = 96.14

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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.