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Finding the Fourth Proportional to 294.29, 441.20 and 147.96

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Solution

The fourth proportional to 294.29, 441.20 and 147.96 is: 221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.29 : 441.20 = 147.96 : x
  2. Step 2: Convert to fraction form
    294.29/441.20 = 147.96/x
  3. Step 3: Cross multiply
    294.29x = 441.20 × 147.96
  4. Step 4: Simplify right side
    294.29x = 65,279.58
  5. Step 5: Solve for x
    x = 65,279.58/294.29
  6. Step 6: Final answer
    x = 221.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.