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Finding the Fourth Proportional to 297.72, 443.94 and 277.86

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Solution

The fourth proportional to 297.72, 443.94 and 277.86 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 443.94 = 277.86 : x
  2. Step 2: Convert to fraction form
    297.72/443.94 = 277.86/x
  3. Step 3: Cross multiply
    297.72x = 443.94 × 277.86
  4. Step 4: Simplify right side
    297.72x = 123,353.17
  5. Step 5: Solve for x
    x = 123,353.17/297.72
  6. Step 6: Final answer
    x = 414.33

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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.