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Finding the Fourth Proportional to 291.58, 404.07 and 286.10

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Solution

The fourth proportional to 291.58, 404.07 and 286.10 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.58 : 404.07 = 286.10 : x
  2. Step 2: Convert to fraction form
    291.58/404.07 = 286.10/x
  3. Step 3: Cross multiply
    291.58x = 404.07 × 286.10
  4. Step 4: Simplify right side
    291.58x = 115,604.43
  5. Step 5: Solve for x
    x = 115,604.43/291.58
  6. Step 6: Final answer
    x = 396.48

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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.