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Finding the Fourth Proportional to 290.13, 400.13 and 211.72

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Solution

The fourth proportional to 290.13, 400.13 and 211.72 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 400.13 = 211.72 : x
  2. Step 2: Convert to fraction form
    290.13/400.13 = 211.72/x
  3. Step 3: Cross multiply
    290.13x = 400.13 × 211.72
  4. Step 4: Simplify right side
    290.13x = 84,716.05
  5. Step 5: Solve for x
    x = 84,716.05/290.13
  6. Step 6: Final answer
    x = 292.00

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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.