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Finding the Fourth Proportional to 292.82, 404.38 and 290.78

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Solution

The fourth proportional to 292.82, 404.38 and 290.78 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 404.38 = 290.78 : x
  2. Step 2: Convert to fraction form
    292.82/404.38 = 290.78/x
  3. Step 3: Cross multiply
    292.82x = 404.38 × 290.78
  4. Step 4: Simplify right side
    292.82x = 117,585.62
  5. Step 5: Solve for x
    x = 117,585.62/292.82
  6. Step 6: Final answer
    x = 401.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.