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Finding the Fourth Proportional to 347.72, 479.80 and 200.32

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Solution

The fourth proportional to 347.72, 479.80 and 200.32 is: 276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 479.80 = 200.32 : x
  2. Step 2: Convert to fraction form
    347.72/479.80 = 200.32/x
  3. Step 3: Cross multiply
    347.72x = 479.80 × 200.32
  4. Step 4: Simplify right side
    347.72x = 96,113.04
  5. Step 5: Solve for x
    x = 96,113.04/347.72
  6. Step 6: Final answer
    x = 276.41

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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.