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Finding the Fourth Proportional to 347.11, 479.01 and 199.75

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Solution

The fourth proportional to 347.11, 479.01 and 199.75 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.11 : 479.01 = 199.75 : x
  2. Step 2: Convert to fraction form
    347.11/479.01 = 199.75/x
  3. Step 3: Cross multiply
    347.11x = 479.01 × 199.75
  4. Step 4: Simplify right side
    347.11x = 95,682.25
  5. Step 5: Solve for x
    x = 95,682.25/347.11
  6. Step 6: Final answer
    x = 275.65

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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.