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Finding the Fourth Proportional to 315.92, 474.42 and 234.92

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Solution

The fourth proportional to 315.92, 474.42 and 234.92 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 474.42 = 234.92 : x
  2. Step 2: Convert to fraction form
    315.92/474.42 = 234.92/x
  3. Step 3: Cross multiply
    315.92x = 474.42 × 234.92
  4. Step 4: Simplify right side
    315.92x = 111,450.75
  5. Step 5: Solve for x
    x = 111,450.75/315.92
  6. Step 6: Final answer
    x = 352.78

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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.