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Finding the Fourth Proportional to 401.25, 553.73 and 217.25

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Solution

The fourth proportional to 401.25, 553.73 and 217.25 is: 299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.25 : 553.73 = 217.25 : x
  2. Step 2: Convert to fraction form
    401.25/553.73 = 217.25/x
  3. Step 3: Cross multiply
    401.25x = 553.73 × 217.25
  4. Step 4: Simplify right side
    401.25x = 120,296.76
  5. Step 5: Solve for x
    x = 120,296.76/401.25
  6. Step 6: Final answer
    x = 299.81

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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.