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Finding the Fourth Proportional to 272.13, 407.24 and 222.81

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Solution

The fourth proportional to 272.13, 407.24 and 222.81 is: 333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.13 : 407.24 = 222.81 : x
  2. Step 2: Convert to fraction form
    272.13/407.24 = 222.81/x
  3. Step 3: Cross multiply
    272.13x = 407.24 × 222.81
  4. Step 4: Simplify right side
    272.13x = 90,737.14
  5. Step 5: Solve for x
    x = 90,737.14/272.13
  6. Step 6: Final answer
    x = 333.43

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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.