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Finding the Fourth Proportional to 109.44, 162.92 and 104.20

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Solution

The fourth proportional to 109.44, 162.92 and 104.20 is: 155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 162.92 = 104.20 : x
  2. Step 2: Convert to fraction form
    109.44/162.92 = 104.20/x
  3. Step 3: Cross multiply
    109.44x = 162.92 × 104.20
  4. Step 4: Simplify right side
    109.44x = 16,976.26
  5. Step 5: Solve for x
    x = 16,976.26/109.44
  6. Step 6: Final answer
    x = 155.12

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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.