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Finding the Fourth Proportional to 98.19, 135.39 and 79.74

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Solution

The fourth proportional to 98.19, 135.39 and 79.74 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 135.39 = 79.74 : x
  2. Step 2: Convert to fraction form
    98.19/135.39 = 79.74/x
  3. Step 3: Cross multiply
    98.19x = 135.39 × 79.74
  4. Step 4: Simplify right side
    98.19x = 10,796.00
  5. Step 5: Solve for x
    x = 10,796.00/98.19
  6. Step 6: Final answer
    x = 109.95

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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.