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Finding the Fourth Proportional to 311.86, 430.37 and 171.97

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Solution

The fourth proportional to 311.86, 430.37 and 171.97 is: 237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.86 : 430.37 = 171.97 : x
  2. Step 2: Convert to fraction form
    311.86/430.37 = 171.97/x
  3. Step 3: Cross multiply
    311.86x = 430.37 × 171.97
  4. Step 4: Simplify right side
    311.86x = 74,007.72
  5. Step 5: Solve for x
    x = 74,007.72/311.86
  6. Step 6: Final answer
    x = 237.31

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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.