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Finding the Fourth Proportional to 108.28, 163.00 and 98.71

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Solution

The fourth proportional to 108.28, 163.00 and 98.71 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.28 : 163.00 = 98.71 : x
  2. Step 2: Convert to fraction form
    108.28/163.00 = 98.71/x
  3. Step 3: Cross multiply
    108.28x = 163.00 × 98.71
  4. Step 4: Simplify right side
    108.28x = 16,088.42
  5. Step 5: Solve for x
    x = 16,088.42/108.28
  6. Step 6: Final answer
    x = 148.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.