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Finding the Fourth Proportional to 98.48, 135.68 and 74

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Solution

The fourth proportional to 98.48, 135.68 and 74 is: 101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 135.68 = 74 : x
  2. Step 2: Convert to fraction form
    98.48/135.68 = 74/x
  3. Step 3: Cross multiply
    98.48x = 135.68 × 74
  4. Step 4: Simplify right side
    98.48x = 10,040.32
  5. Step 5: Solve for x
    x = 10,040.32/98.48
  6. Step 6: Final answer
    x = 101.95

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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.