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Finding the Fourth Proportional to 349.45, 523.77 and 240.91

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Solution

The fourth proportional to 349.45, 523.77 and 240.91 is: 361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.45 : 523.77 = 240.91 : x
  2. Step 2: Convert to fraction form
    349.45/523.77 = 240.91/x
  3. Step 3: Cross multiply
    349.45x = 523.77 × 240.91
  4. Step 4: Simplify right side
    349.45x = 126,181.43
  5. Step 5: Solve for x
    x = 126,181.43/349.45
  6. Step 6: Final answer
    x = 361.09

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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.