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Finding the Fourth Proportional to 349.39, 523.83 and 175.91

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Solution

The fourth proportional to 349.39, 523.83 and 175.91 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.39 : 523.83 = 175.91 : x
  2. Step 2: Convert to fraction form
    349.39/523.83 = 175.91/x
  3. Step 3: Cross multiply
    349.39x = 523.83 × 175.91
  4. Step 4: Simplify right side
    349.39x = 92,146.94
  5. Step 5: Solve for x
    x = 92,146.94/349.39
  6. Step 6: Final answer
    x = 263.74

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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.