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Finding the Fourth Proportional to 337.12, 464.88 and 220.72

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Solution

The fourth proportional to 337.12, 464.88 and 220.72 is: 304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.12 : 464.88 = 220.72 : x
  2. Step 2: Convert to fraction form
    337.12/464.88 = 220.72/x
  3. Step 3: Cross multiply
    337.12x = 464.88 × 220.72
  4. Step 4: Simplify right side
    337.12x = 102,608.31
  5. Step 5: Solve for x
    x = 102,608.31/337.12
  6. Step 6: Final answer
    x = 304.37

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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.