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Finding the Fourth Proportional to 312.24, 468.32 and 129.78

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Solution

The fourth proportional to 312.24, 468.32 and 129.78 is: 194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 468.32 = 129.78 : x
  2. Step 2: Convert to fraction form
    312.24/468.32 = 129.78/x
  3. Step 3: Cross multiply
    312.24x = 468.32 × 129.78
  4. Step 4: Simplify right side
    312.24x = 60,778.57
  5. Step 5: Solve for x
    x = 60,778.57/312.24
  6. Step 6: Final answer
    x = 194.65

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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.