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Finding the Fourth Proportional to 397.92, 596.74 and 120.19

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Solution

The fourth proportional to 397.92, 596.74 and 120.19 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.92 : 596.74 = 120.19 : x
  2. Step 2: Convert to fraction form
    397.92/596.74 = 120.19/x
  3. Step 3: Cross multiply
    397.92x = 596.74 × 120.19
  4. Step 4: Simplify right side
    397.92x = 71,722.18
  5. Step 5: Solve for x
    x = 71,722.18/397.92
  6. Step 6: Final answer
    x = 180.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.