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Finding the Fourth Proportional to 320.24, 441.92 and 178.44

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Solution

The fourth proportional to 320.24, 441.92 and 178.44 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 441.92 = 178.44 : x
  2. Step 2: Convert to fraction form
    320.24/441.92 = 178.44/x
  3. Step 3: Cross multiply
    320.24x = 441.92 × 178.44
  4. Step 4: Simplify right side
    320.24x = 78,856.20
  5. Step 5: Solve for x
    x = 78,856.20/320.24
  6. Step 6: Final answer
    x = 246.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.