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Finding the Fourth Proportional to 337.26, 464.61 and 320.79

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Solution

The fourth proportional to 337.26, 464.61 and 320.79 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.26 : 464.61 = 320.79 : x
  2. Step 2: Convert to fraction form
    337.26/464.61 = 320.79/x
  3. Step 3: Cross multiply
    337.26x = 464.61 × 320.79
  4. Step 4: Simplify right side
    337.26x = 149,042.24
  5. Step 5: Solve for x
    x = 149,042.24/337.26
  6. Step 6: Final answer
    x = 441.92

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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.