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Finding the Fourth Proportional to 334.78, 461.67 and 298.30

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Solution

The fourth proportional to 334.78, 461.67 and 298.30 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.78 : 461.67 = 298.30 : x
  2. Step 2: Convert to fraction form
    334.78/461.67 = 298.30/x
  3. Step 3: Cross multiply
    334.78x = 461.67 × 298.30
  4. Step 4: Simplify right side
    334.78x = 137,716.16
  5. Step 5: Solve for x
    x = 137,716.16/334.78
  6. Step 6: Final answer
    x = 411.36

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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.