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Finding the Fourth Proportional to 98.20, 135.38 and 84.28

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Solution

The fourth proportional to 98.20, 135.38 and 84.28 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 135.38 = 84.28 : x
  2. Step 2: Convert to fraction form
    98.20/135.38 = 84.28/x
  3. Step 3: Cross multiply
    98.20x = 135.38 × 84.28
  4. Step 4: Simplify right side
    98.20x = 11,409.83
  5. Step 5: Solve for x
    x = 11,409.83/98.20
  6. Step 6: Final answer
    x = 116.19

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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.