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Finding the Fourth Proportional to 240.66, 363.05 and 231.09

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Solution

The fourth proportional to 240.66, 363.05 and 231.09 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 363.05 = 231.09 : x
  2. Step 2: Convert to fraction form
    240.66/363.05 = 231.09/x
  3. Step 3: Cross multiply
    240.66x = 363.05 × 231.09
  4. Step 4: Simplify right side
    240.66x = 83,897.22
  5. Step 5: Solve for x
    x = 83,897.22/240.66
  6. Step 6: Final answer
    x = 348.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.