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Finding the Fourth Proportional to 361.45, 499.01 and 278.39

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Solution

The fourth proportional to 361.45, 499.01 and 278.39 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.45 : 499.01 = 278.39 : x
  2. Step 2: Convert to fraction form
    361.45/499.01 = 278.39/x
  3. Step 3: Cross multiply
    361.45x = 499.01 × 278.39
  4. Step 4: Simplify right side
    361.45x = 138,919.39
  5. Step 5: Solve for x
    x = 138,919.39/361.45
  6. Step 6: Final answer
    x = 384.34

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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.