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Finding the Fourth Proportional to 290.56, 401.21 and 224.95

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Solution

The fourth proportional to 290.56, 401.21 and 224.95 is: 310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.56 : 401.21 = 224.95 : x
  2. Step 2: Convert to fraction form
    290.56/401.21 = 224.95/x
  3. Step 3: Cross multiply
    290.56x = 401.21 × 224.95
  4. Step 4: Simplify right side
    290.56x = 90,251.06
  5. Step 5: Solve for x
    x = 90,251.06/290.56
  6. Step 6: Final answer
    x = 310.61

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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.