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Finding the Fourth Proportional to 224.76, 334.81 and 217.96

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Solution

The fourth proportional to 224.76, 334.81 and 217.96 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 334.81 = 217.96 : x
  2. Step 2: Convert to fraction form
    224.76/334.81 = 217.96/x
  3. Step 3: Cross multiply
    224.76x = 334.81 × 217.96
  4. Step 4: Simplify right side
    224.76x = 72,973.51
  5. Step 5: Solve for x
    x = 72,973.51/224.76
  6. Step 6: Final answer
    x = 324.68

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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.