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Finding the Fourth Proportional to 240.36, 361.96 and 224.16

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Solution

The fourth proportional to 240.36, 361.96 and 224.16 is: 337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.36 : 361.96 = 224.16 : x
  2. Step 2: Convert to fraction form
    240.36/361.96 = 224.16/x
  3. Step 3: Cross multiply
    240.36x = 361.96 × 224.16
  4. Step 4: Simplify right side
    240.36x = 81,136.95
  5. Step 5: Solve for x
    x = 81,136.95/240.36
  6. Step 6: Final answer
    x = 337.56

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Why These Related Problems?

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