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Finding the Fourth Proportional to 349.61, 523.10 and 234.35

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Solution

The fourth proportional to 349.61, 523.10 and 234.35 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.61 : 523.10 = 234.35 : x
  2. Step 2: Convert to fraction form
    349.61/523.10 = 234.35/x
  3. Step 3: Cross multiply
    349.61x = 523.10 × 234.35
  4. Step 4: Simplify right side
    349.61x = 122,584.70
  5. Step 5: Solve for x
    x = 122,584.70/349.61
  6. Step 6: Final answer
    x = 350.64

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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.