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Finding the Fourth Proportional to 310.43, 464.74 and 223.46

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Solution

The fourth proportional to 310.43, 464.74 and 223.46 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.43 : 464.74 = 223.46 : x
  2. Step 2: Convert to fraction form
    310.43/464.74 = 223.46/x
  3. Step 3: Cross multiply
    310.43x = 464.74 × 223.46
  4. Step 4: Simplify right side
    310.43x = 103,849.66
  5. Step 5: Solve for x
    x = 103,849.66/310.43
  6. Step 6: Final answer
    x = 334.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.