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Finding the Fourth Proportional to 347.43, 479.24 and 229.40

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Solution

The fourth proportional to 347.43, 479.24 and 229.40 is: 316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.43 : 479.24 = 229.40 : x
  2. Step 2: Convert to fraction form
    347.43/479.24 = 229.40/x
  3. Step 3: Cross multiply
    347.43x = 479.24 × 229.40
  4. Step 4: Simplify right side
    347.43x = 109,937.67
  5. Step 5: Solve for x
    x = 109,937.67/347.43
  6. Step 6: Final answer
    x = 316.43

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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.