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Finding the Fourth Proportional to 240.91, 361.56 and 189.78

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Solution

The fourth proportional to 240.91, 361.56 and 189.78 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.91 : 361.56 = 189.78 : x
  2. Step 2: Convert to fraction form
    240.91/361.56 = 189.78/x
  3. Step 3: Cross multiply
    240.91x = 361.56 × 189.78
  4. Step 4: Simplify right side
    240.91x = 68,616.21
  5. Step 5: Solve for x
    x = 68,616.21/240.91
  6. Step 6: Final answer
    x = 284.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.