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Finding the Fourth Proportional to 297.54, 443.72 and 294.82

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Solution

The fourth proportional to 297.54, 443.72 and 294.82 is: 439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 443.72 = 294.82 : x
  2. Step 2: Convert to fraction form
    297.54/443.72 = 294.82/x
  3. Step 3: Cross multiply
    297.54x = 443.72 × 294.82
  4. Step 4: Simplify right side
    297.54x = 130,817.53
  5. Step 5: Solve for x
    x = 130,817.53/297.54
  6. Step 6: Final answer
    x = 439.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.