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Finding the Fourth Proportional to 310.73, 464.31 and 223.65

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Solution

The fourth proportional to 310.73, 464.31 and 223.65 is: 334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.73 : 464.31 = 223.65 : x
  2. Step 2: Convert to fraction form
    310.73/464.31 = 223.65/x
  3. Step 3: Cross multiply
    310.73x = 464.31 × 223.65
  4. Step 4: Simplify right side
    310.73x = 103,842.93
  5. Step 5: Solve for x
    x = 103,842.93/310.73
  6. Step 6: Final answer
    x = 334.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.