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Finding the Fourth Proportional to 270.67, 404.67 and 229.99

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Solution

The fourth proportional to 270.67, 404.67 and 229.99 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.67 : 404.67 = 229.99 : x
  2. Step 2: Convert to fraction form
    270.67/404.67 = 229.99/x
  3. Step 3: Cross multiply
    270.67x = 404.67 × 229.99
  4. Step 4: Simplify right side
    270.67x = 93,070.05
  5. Step 5: Solve for x
    x = 93,070.05/270.67
  6. Step 6: Final answer
    x = 343.85

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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.