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Finding the Fourth Proportional to 270.66, 404.90 and 229.62

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Solution

The fourth proportional to 270.66, 404.90 and 229.62 is: 343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.66 : 404.90 = 229.62 : x
  2. Step 2: Convert to fraction form
    270.66/404.90 = 229.62/x
  3. Step 3: Cross multiply
    270.66x = 404.90 × 229.62
  4. Step 4: Simplify right side
    270.66x = 92,973.14
  5. Step 5: Solve for x
    x = 92,973.14/270.66
  6. Step 6: Final answer
    x = 343.51

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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.