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Finding the Fourth Proportional to 272.34, 406.85 and 224.28

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Solution

The fourth proportional to 272.34, 406.85 and 224.28 is: 335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.34 : 406.85 = 224.28 : x
  2. Step 2: Convert to fraction form
    272.34/406.85 = 224.28/x
  3. Step 3: Cross multiply
    272.34x = 406.85 × 224.28
  4. Step 4: Simplify right side
    272.34x = 91,247.20
  5. Step 5: Solve for x
    x = 91,247.20/272.34
  6. Step 6: Final answer
    x = 335.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.