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Finding the Fourth Proportional to 334.28, 462.17 and 319.43

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Solution

The fourth proportional to 334.28, 462.17 and 319.43 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 462.17 = 319.43 : x
  2. Step 2: Convert to fraction form
    334.28/462.17 = 319.43/x
  3. Step 3: Cross multiply
    334.28x = 462.17 × 319.43
  4. Step 4: Simplify right side
    334.28x = 147,632.92
  5. Step 5: Solve for x
    x = 147,632.92/334.28
  6. Step 6: Final answer
    x = 441.64

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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.