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Finding the Fourth Proportional to 98.32, 135.84 and 79.04

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Solution

The fourth proportional to 98.32, 135.84 and 79.04 is: 109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 135.84 = 79.04 : x
  2. Step 2: Convert to fraction form
    98.32/135.84 = 79.04/x
  3. Step 3: Cross multiply
    98.32x = 135.84 × 79.04
  4. Step 4: Simplify right side
    98.32x = 10,736.79
  5. Step 5: Solve for x
    x = 10,736.79/98.32
  6. Step 6: Final answer
    x = 109.20

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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.