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Finding the Fourth Proportional to 347.72, 479.82 and 200.24

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Solution

The fourth proportional to 347.72, 479.82 and 200.24 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 479.82 = 200.24 : x
  2. Step 2: Convert to fraction form
    347.72/479.82 = 200.24/x
  3. Step 3: Cross multiply
    347.72x = 479.82 × 200.24
  4. Step 4: Simplify right side
    347.72x = 96,079.16
  5. Step 5: Solve for x
    x = 96,079.16/347.72
  6. Step 6: Final answer
    x = 276.31

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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.