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Finding the Fourth Proportional to 267.86, 401.28 and 224.42

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Solution

The fourth proportional to 267.86, 401.28 and 224.42 is: 336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.86 : 401.28 = 224.42 : x
  2. Step 2: Convert to fraction form
    267.86/401.28 = 224.42/x
  3. Step 3: Cross multiply
    267.86x = 401.28 × 224.42
  4. Step 4: Simplify right side
    267.86x = 90,055.26
  5. Step 5: Solve for x
    x = 90,055.26/267.86
  6. Step 6: Final answer
    x = 336.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.