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Finding the Fourth Proportional to 290.22, 400.57 and 197.12

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Solution

The fourth proportional to 290.22, 400.57 and 197.12 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.22 : 400.57 = 197.12 : x
  2. Step 2: Convert to fraction form
    290.22/400.57 = 197.12/x
  3. Step 3: Cross multiply
    290.22x = 400.57 × 197.12
  4. Step 4: Simplify right side
    290.22x = 78,959.17
  5. Step 5: Solve for x
    x = 78,959.17/290.22
  6. Step 6: Final answer
    x = 272.07

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