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Finding the Fourth Proportional to 242.07, 361.08 and 222.17

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Solution

The fourth proportional to 242.07, 361.08 and 222.17 is: 331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 361.08 = 222.17 : x
  2. Step 2: Convert to fraction form
    242.07/361.08 = 222.17/x
  3. Step 3: Cross multiply
    242.07x = 361.08 × 222.17
  4. Step 4: Simplify right side
    242.07x = 80,221.37
  5. Step 5: Solve for x
    x = 80,221.37/242.07
  6. Step 6: Final answer
    x = 331.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.