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Finding the Fourth Proportional to 349.35, 523.30 and 323.74

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Solution

The fourth proportional to 349.35, 523.30 and 323.74 is: 484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 523.30 = 323.74 : x
  2. Step 2: Convert to fraction form
    349.35/523.30 = 323.74/x
  3. Step 3: Cross multiply
    349.35x = 523.30 × 323.74
  4. Step 4: Simplify right side
    349.35x = 169,413.14
  5. Step 5: Solve for x
    x = 169,413.14/349.35
  6. Step 6: Final answer
    x = 484.94

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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.