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Finding the Fourth Proportional to 361.18, 542.28 and 223.78

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Solution

The fourth proportional to 361.18, 542.28 and 223.78 is: 335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 542.28 = 223.78 : x
  2. Step 2: Convert to fraction form
    361.18/542.28 = 223.78/x
  3. Step 3: Cross multiply
    361.18x = 542.28 × 223.78
  4. Step 4: Simplify right side
    361.18x = 121,351.42
  5. Step 5: Solve for x
    x = 121,351.42/361.18
  6. Step 6: Final answer
    x = 335.99

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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.