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Finding the Fourth Proportional to 240.96, 361.10 and 103.87

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Solution

The fourth proportional to 240.96, 361.10 and 103.87 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 361.10 = 103.87 : x
  2. Step 2: Convert to fraction form
    240.96/361.10 = 103.87/x
  3. Step 3: Cross multiply
    240.96x = 361.10 × 103.87
  4. Step 4: Simplify right side
    240.96x = 37,506.81
  5. Step 5: Solve for x
    x = 37,506.81/240.96
  6. Step 6: Final answer
    x = 155.66

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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.