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Finding the Fourth Proportional to 109.76, 163.84 and 98.24

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Solution

The fourth proportional to 109.76, 163.84 and 98.24 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 163.84 = 98.24 : x
  2. Step 2: Convert to fraction form
    109.76/163.84 = 98.24/x
  3. Step 3: Cross multiply
    109.76x = 163.84 × 98.24
  4. Step 4: Simplify right side
    109.76x = 16,095.64
  5. Step 5: Solve for x
    x = 16,095.64/109.76
  6. Step 6: Final answer
    x = 146.64

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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.