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Finding the Fourth Proportional to 312.29, 430.86 and 217.76

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Solution

The fourth proportional to 312.29, 430.86 and 217.76 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 430.86 = 217.76 : x
  2. Step 2: Convert to fraction form
    312.29/430.86 = 217.76/x
  3. Step 3: Cross multiply
    312.29x = 430.86 × 217.76
  4. Step 4: Simplify right side
    312.29x = 93,825.20
  5. Step 5: Solve for x
    x = 93,825.20/312.29
  6. Step 6: Final answer
    x = 300.44

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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.