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Finding the Fourth Proportional to 270.92, 404.62 and 234.44

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Solution

The fourth proportional to 270.92, 404.62 and 234.44 is: 350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 404.62 = 234.44 : x
  2. Step 2: Convert to fraction form
    270.92/404.62 = 234.44/x
  3. Step 3: Cross multiply
    270.92x = 404.62 × 234.44
  4. Step 4: Simplify right side
    270.92x = 94,859.11
  5. Step 5: Solve for x
    x = 94,859.11/270.92
  6. Step 6: Final answer
    x = 350.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.