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Finding the Fourth Proportional to 120.36, 179.57 and 103.04

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Solution

The fourth proportional to 120.36, 179.57 and 103.04 is: 153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 179.57 = 103.04 : x
  2. Step 2: Convert to fraction form
    120.36/179.57 = 103.04/x
  3. Step 3: Cross multiply
    120.36x = 179.57 × 103.04
  4. Step 4: Simplify right side
    120.36x = 18,502.38
  5. Step 5: Solve for x
    x = 18,502.38/120.36
  6. Step 6: Final answer
    x = 153.73

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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.