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Finding the Fourth Proportional to 349.89, 523.82 and 263.59

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Solution

The fourth proportional to 349.89, 523.82 and 263.59 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 523.82 = 263.59 : x
  2. Step 2: Convert to fraction form
    349.89/523.82 = 263.59/x
  3. Step 3: Cross multiply
    349.89x = 523.82 × 263.59
  4. Step 4: Simplify right side
    349.89x = 138,070.77
  5. Step 5: Solve for x
    x = 138,070.77/349.89
  6. Step 6: Final answer
    x = 394.61

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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.