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Finding the Fourth Proportional to 240.87, 361.38 and 103.84

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Solution

The fourth proportional to 240.87, 361.38 and 103.84 is: 155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.87 : 361.38 = 103.84 : x
  2. Step 2: Convert to fraction form
    240.87/361.38 = 103.84/x
  3. Step 3: Cross multiply
    240.87x = 361.38 × 103.84
  4. Step 4: Simplify right side
    240.87x = 37,525.70
  5. Step 5: Solve for x
    x = 37,525.70/240.87
  6. Step 6: Final answer
    x = 155.79

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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.