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Finding the Fourth Proportional to 349.88, 523.80 and 269.66

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Solution

The fourth proportional to 349.88, 523.80 and 269.66 is: 403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.88 : 523.80 = 269.66 : x
  2. Step 2: Convert to fraction form
    349.88/523.80 = 269.66/x
  3. Step 3: Cross multiply
    349.88x = 523.80 × 269.66
  4. Step 4: Simplify right side
    349.88x = 141,247.91
  5. Step 5: Solve for x
    x = 141,247.91/349.88
  6. Step 6: Final answer
    x = 403.70

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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.