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Finding the Fourth Proportional to 361.82, 542.78 and 179.22

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Solution

The fourth proportional to 361.82, 542.78 and 179.22 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 542.78 = 179.22 : x
  2. Step 2: Convert to fraction form
    361.82/542.78 = 179.22/x
  3. Step 3: Cross multiply
    361.82x = 542.78 × 179.22
  4. Step 4: Simplify right side
    361.82x = 97,276.14
  5. Step 5: Solve for x
    x = 97,276.14/361.82
  6. Step 6: Final answer
    x = 268.86

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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.