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Finding the Fourth Proportional to 290.57, 400.69 and 211.90

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Solution

The fourth proportional to 290.57, 400.69 and 211.90 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.57 : 400.69 = 211.90 : x
  2. Step 2: Convert to fraction form
    290.57/400.69 = 211.90/x
  3. Step 3: Cross multiply
    290.57x = 400.69 × 211.90
  4. Step 4: Simplify right side
    290.57x = 84,906.21
  5. Step 5: Solve for x
    x = 84,906.21/290.57
  6. Step 6: Final answer
    x = 292.21

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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.