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Finding the Fourth Proportional to 294.25, 441.19 and 147.82

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Solution

The fourth proportional to 294.25, 441.19 and 147.82 is: 221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 441.19 = 147.82 : x
  2. Step 2: Convert to fraction form
    294.25/441.19 = 147.82/x
  3. Step 3: Cross multiply
    294.25x = 441.19 × 147.82
  4. Step 4: Simplify right side
    294.25x = 65,217.81
  5. Step 5: Solve for x
    x = 65,217.81/294.25
  6. Step 6: Final answer
    x = 221.64

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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.