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Finding the Fourth Proportional to 349.27, 523.91 and 204.79

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Solution

The fourth proportional to 349.27, 523.91 and 204.79 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.27 : 523.91 = 204.79 : x
  2. Step 2: Convert to fraction form
    349.27/523.91 = 204.79/x
  3. Step 3: Cross multiply
    349.27x = 523.91 × 204.79
  4. Step 4: Simplify right side
    349.27x = 107,291.53
  5. Step 5: Solve for x
    x = 107,291.53/349.27
  6. Step 6: Final answer
    x = 307.19

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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.