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Finding the Fourth Proportional to 367.79, 547.97 and 349.43

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Solution

The fourth proportional to 367.79, 547.97 and 349.43 is: 520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.79 : 547.97 = 349.43 : x
  2. Step 2: Convert to fraction form
    367.79/547.97 = 349.43/x
  3. Step 3: Cross multiply
    367.79x = 547.97 × 349.43
  4. Step 4: Simplify right side
    367.79x = 191,475.41
  5. Step 5: Solve for x
    x = 191,475.41/367.79
  6. Step 6: Final answer
    x = 520.61

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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.