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Finding the Fourth Proportional to 109.97, 163.86 and 102.98

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Solution

The fourth proportional to 109.97, 163.86 and 102.98 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 163.86 = 102.98 : x
  2. Step 2: Convert to fraction form
    109.97/163.86 = 102.98/x
  3. Step 3: Cross multiply
    109.97x = 163.86 × 102.98
  4. Step 4: Simplify right side
    109.97x = 16,874.33
  5. Step 5: Solve for x
    x = 16,874.33/109.97
  6. Step 6: Final answer
    x = 153.45

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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.