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Finding the Fourth Proportional to 334.79, 461.31 and 229.88

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Solution

The fourth proportional to 334.79, 461.31 and 229.88 is: 316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.79 : 461.31 = 229.88 : x
  2. Step 2: Convert to fraction form
    334.79/461.31 = 229.88/x
  3. Step 3: Cross multiply
    334.79x = 461.31 × 229.88
  4. Step 4: Simplify right side
    334.79x = 106,045.94
  5. Step 5: Solve for x
    x = 106,045.94/334.79
  6. Step 6: Final answer
    x = 316.75

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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.