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Finding the Fourth Proportional to 120.18, 179.45 and 103.92

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Solution

The fourth proportional to 120.18, 179.45 and 103.92 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.18 : 179.45 = 103.92 : x
  2. Step 2: Convert to fraction form
    120.18/179.45 = 103.92/x
  3. Step 3: Cross multiply
    120.18x = 179.45 × 103.92
  4. Step 4: Simplify right side
    120.18x = 18,647.64
  5. Step 5: Solve for x
    x = 18,647.64/120.18
  6. Step 6: Final answer
    x = 155.16

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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.