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Finding the Fourth Proportional to 361.86, 499.20 and 288.30

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Solution

The fourth proportional to 361.86, 499.20 and 288.30 is: 397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.86 : 499.20 = 288.30 : x
  2. Step 2: Convert to fraction form
    361.86/499.20 = 288.30/x
  3. Step 3: Cross multiply
    361.86x = 499.20 × 288.30
  4. Step 4: Simplify right side
    361.86x = 143,919.36
  5. Step 5: Solve for x
    x = 143,919.36/361.86
  6. Step 6: Final answer
    x = 397.72

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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.