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Finding the Fourth Proportional to 401.47, 553.96 and 224.40

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Solution

The fourth proportional to 401.47, 553.96 and 224.40 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.47 : 553.96 = 224.40 : x
  2. Step 2: Convert to fraction form
    401.47/553.96 = 224.40/x
  3. Step 3: Cross multiply
    401.47x = 553.96 × 224.40
  4. Step 4: Simplify right side
    401.47x = 124,308.62
  5. Step 5: Solve for x
    x = 124,308.62/401.47
  6. Step 6: Final answer
    x = 309.63

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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.