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Finding the Fourth Proportional to 401.44, 553.99 and 224.39

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Solution

The fourth proportional to 401.44, 553.99 and 224.39 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.44 : 553.99 = 224.39 : x
  2. Step 2: Convert to fraction form
    401.44/553.99 = 224.39/x
  3. Step 3: Cross multiply
    401.44x = 553.99 × 224.39
  4. Step 4: Simplify right side
    401.44x = 124,310.64
  5. Step 5: Solve for x
    x = 124,310.64/401.44
  6. Step 6: Final answer
    x = 309.66

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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.