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Finding the Fourth Proportional to 312.20, 430.77 and 213.92

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Solution

The fourth proportional to 312.20, 430.77 and 213.92 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 430.77 = 213.92 : x
  2. Step 2: Convert to fraction form
    312.20/430.77 = 213.92/x
  3. Step 3: Cross multiply
    312.20x = 430.77 × 213.92
  4. Step 4: Simplify right side
    312.20x = 92,147.09
  5. Step 5: Solve for x
    x = 92,147.09/312.20
  6. Step 6: Final answer
    x = 295.16

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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.