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Finding the Fourth Proportional to 401.49, 553.97 and 226.77

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Solution

The fourth proportional to 401.49, 553.97 and 226.77 is: 312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.49 : 553.97 = 226.77 : x
  2. Step 2: Convert to fraction form
    401.49/553.97 = 226.77/x
  3. Step 3: Cross multiply
    401.49x = 553.97 × 226.77
  4. Step 4: Simplify right side
    401.49x = 125,622.64
  5. Step 5: Solve for x
    x = 125,622.64/401.49
  6. Step 6: Final answer
    x = 312.89

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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.