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Finding the Fourth Proportional to 312.68, 430.34 and 229.66

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Solution

The fourth proportional to 312.68, 430.34 and 229.66 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 430.34 = 229.66 : x
  2. Step 2: Convert to fraction form
    312.68/430.34 = 229.66/x
  3. Step 3: Cross multiply
    312.68x = 430.34 × 229.66
  4. Step 4: Simplify right side
    312.68x = 98,829.73
  5. Step 5: Solve for x
    x = 98,829.73/312.68
  6. Step 6: Final answer
    x = 316.07

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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.