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Finding the Fourth Proportional to 109.90, 163.69 and 109.41

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Solution

The fourth proportional to 109.90, 163.69 and 109.41 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 163.69 = 109.41 : x
  2. Step 2: Convert to fraction form
    109.90/163.69 = 109.41/x
  3. Step 3: Cross multiply
    109.90x = 163.69 × 109.41
  4. Step 4: Simplify right side
    109.90x = 17,909.32
  5. Step 5: Solve for x
    x = 17,909.32/109.90
  6. Step 6: Final answer
    x = 162.96

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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.