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Finding the Fourth Proportional to 291.52, 404.44 and 280.96

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Solution

The fourth proportional to 291.52, 404.44 and 280.96 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.52 : 404.44 = 280.96 : x
  2. Step 2: Convert to fraction form
    291.52/404.44 = 280.96/x
  3. Step 3: Cross multiply
    291.52x = 404.44 × 280.96
  4. Step 4: Simplify right side
    291.52x = 113,631.46
  5. Step 5: Solve for x
    x = 113,631.46/291.52
  6. Step 6: Final answer
    x = 389.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.