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Finding the Fourth Proportional to 270.84, 404.34 and 229.84

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Solution

The fourth proportional to 270.84, 404.34 and 229.84 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 404.34 = 229.84 : x
  2. Step 2: Convert to fraction form
    270.84/404.34 = 229.84/x
  3. Step 3: Cross multiply
    270.84x = 404.34 × 229.84
  4. Step 4: Simplify right side
    270.84x = 92,933.51
  5. Step 5: Solve for x
    x = 92,933.51/270.84
  6. Step 6: Final answer
    x = 343.13

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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.