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Finding the Fourth Proportional to 400.84, 553.17 and 226.23

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Solution

The fourth proportional to 400.84, 553.17 and 226.23 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 553.17 = 226.23 : x
  2. Step 2: Convert to fraction form
    400.84/553.17 = 226.23/x
  3. Step 3: Cross multiply
    400.84x = 553.17 × 226.23
  4. Step 4: Simplify right side
    400.84x = 125,143.65
  5. Step 5: Solve for x
    x = 125,143.65/400.84
  6. Step 6: Final answer
    x = 312.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.