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Finding the Fourth Proportional to 290.74, 401.25 and 220.68

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Solution

The fourth proportional to 290.74, 401.25 and 220.68 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.74 : 401.25 = 220.68 : x
  2. Step 2: Convert to fraction form
    290.74/401.25 = 220.68/x
  3. Step 3: Cross multiply
    290.74x = 401.25 × 220.68
  4. Step 4: Simplify right side
    290.74x = 88,547.85
  5. Step 5: Solve for x
    x = 88,547.85/290.74
  6. Step 6: Final answer
    x = 304.56

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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.