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Finding the Fourth Proportional to 347.28, 478.15 and 294.72

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Solution

The fourth proportional to 347.28, 478.15 and 294.72 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 478.15 = 294.72 : x
  2. Step 2: Convert to fraction form
    347.28/478.15 = 294.72/x
  3. Step 3: Cross multiply
    347.28x = 478.15 × 294.72
  4. Step 4: Simplify right side
    347.28x = 140,920.37
  5. Step 5: Solve for x
    x = 140,920.37/347.28
  6. Step 6: Final answer
    x = 405.78

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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.