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Finding the Fourth Proportional to 361.78, 499.10 and 242

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Solution

The fourth proportional to 361.78, 499.10 and 242 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 499.10 = 242 : x
  2. Step 2: Convert to fraction form
    361.78/499.10 = 242/x
  3. Step 3: Cross multiply
    361.78x = 499.10 × 242
  4. Step 4: Simplify right side
    361.78x = 120,782.20
  5. Step 5: Solve for x
    x = 120,782.20/361.78
  6. Step 6: Final answer
    x = 333.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.