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Finding the Fourth Proportional to 348.64, 523.20 and 194.56

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Solution

The fourth proportional to 348.64, 523.20 and 194.56 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.64 : 523.20 = 194.56 : x
  2. Step 2: Convert to fraction form
    348.64/523.20 = 194.56/x
  3. Step 3: Cross multiply
    348.64x = 523.20 × 194.56
  4. Step 4: Simplify right side
    348.64x = 101,793.79
  5. Step 5: Solve for x
    x = 101,793.79/348.64
  6. Step 6: Final answer
    x = 291.97

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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.