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Finding the Fourth Proportional to 312.20, 430.87 and 229.34

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Solution

The fourth proportional to 312.20, 430.87 and 229.34 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 430.87 = 229.34 : x
  2. Step 2: Convert to fraction form
    312.20/430.87 = 229.34/x
  3. Step 3: Cross multiply
    312.20x = 430.87 × 229.34
  4. Step 4: Simplify right side
    312.20x = 98,815.73
  5. Step 5: Solve for x
    x = 98,815.73/312.20
  6. Step 6: Final answer
    x = 316.51

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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.