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Finding the Fourth Proportional to 349.57, 523.54 and 294.90

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Solution

The fourth proportional to 349.57, 523.54 and 294.90 is: 441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.57 : 523.54 = 294.90 : x
  2. Step 2: Convert to fraction form
    349.57/523.54 = 294.90/x
  3. Step 3: Cross multiply
    349.57x = 523.54 × 294.90
  4. Step 4: Simplify right side
    349.57x = 154,391.95
  5. Step 5: Solve for x
    x = 154,391.95/349.57
  6. Step 6: Final answer
    x = 441.66

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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.