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Finding the Fourth Proportional to 347.44, 479.20 and 289.12

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Solution

The fourth proportional to 347.44, 479.20 and 289.12 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.44 : 479.20 = 289.12 : x
  2. Step 2: Convert to fraction form
    347.44/479.20 = 289.12/x
  3. Step 3: Cross multiply
    347.44x = 479.20 × 289.12
  4. Step 4: Simplify right side
    347.44x = 138,546.30
  5. Step 5: Solve for x
    x = 138,546.30/347.44
  6. Step 6: Final answer
    x = 398.76

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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.