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Finding the Fourth Proportional to 242.22, 361.77 and 209.82

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Solution

The fourth proportional to 242.22, 361.77 and 209.82 is: 313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 361.77 = 209.82 : x
  2. Step 2: Convert to fraction form
    242.22/361.77 = 209.82/x
  3. Step 3: Cross multiply
    242.22x = 361.77 × 209.82
  4. Step 4: Simplify right side
    242.22x = 75,906.58
  5. Step 5: Solve for x
    x = 75,906.58/242.22
  6. Step 6: Final answer
    x = 313.38

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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.