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Finding the Fourth Proportional to 240.94, 361.61 and 119.34

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Solution

The fourth proportional to 240.94, 361.61 and 119.34 is: 179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.94 : 361.61 = 119.34 : x
  2. Step 2: Convert to fraction form
    240.94/361.61 = 119.34/x
  3. Step 3: Cross multiply
    240.94x = 361.61 × 119.34
  4. Step 4: Simplify right side
    240.94x = 43,155.06
  5. Step 5: Solve for x
    x = 43,155.06/240.94
  6. Step 6: Final answer
    x = 179.11

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Why These Related Problems?

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