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Finding the Fourth Proportional to 401.25, 553.73 and 226.64

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Solution

The fourth proportional to 401.25, 553.73 and 226.64 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 553.73 = 226.64 : x
  2. Step 2: Convert to fraction form
    401.25/553.73 = 226.64/x
  3. Step 3: Cross multiply
    401.25x = 553.73 × 226.64
  4. Step 4: Simplify right side
    401.25x = 125,493.47
  5. Step 5: Solve for x
    x = 125,493.47/401.25
  6. Step 6: Final answer
    x = 312.76

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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.