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Finding the Fourth Proportional to 109.76, 163.90 and 98.36

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Solution

The fourth proportional to 109.76, 163.90 and 98.36 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 163.90 = 98.36 : x
  2. Step 2: Convert to fraction form
    109.76/163.90 = 98.36/x
  3. Step 3: Cross multiply
    109.76x = 163.90 × 98.36
  4. Step 4: Simplify right side
    109.76x = 16,121.20
  5. Step 5: Solve for x
    x = 16,121.20/109.76
  6. Step 6: Final answer
    x = 146.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.