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Finding the Fourth Proportional to 347.05, 478.78 and 199.65

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Solution

The fourth proportional to 347.05, 478.78 and 199.65 is: 275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.05 : 478.78 = 199.65 : x
  2. Step 2: Convert to fraction form
    347.05/478.78 = 199.65/x
  3. Step 3: Cross multiply
    347.05x = 478.78 × 199.65
  4. Step 4: Simplify right side
    347.05x = 95,589.62
  5. Step 5: Solve for x
    x = 95,589.62/347.05
  6. Step 6: Final answer
    x = 275.43

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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.