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Finding the Fourth Proportional to 290.61, 401.13 and 225.36

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Solution

The fourth proportional to 290.61, 401.13 and 225.36 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.61 : 401.13 = 225.36 : x
  2. Step 2: Convert to fraction form
    290.61/401.13 = 225.36/x
  3. Step 3: Cross multiply
    290.61x = 401.13 × 225.36
  4. Step 4: Simplify right side
    290.61x = 90,398.66
  5. Step 5: Solve for x
    x = 90,398.66/290.61
  6. Step 6: Final answer
    x = 311.07

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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.