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Finding the Fourth Proportional to 224.86, 335.36 and 222.70

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Solution

The fourth proportional to 224.86, 335.36 and 222.70 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.86 : 335.36 = 222.70 : x
  2. Step 2: Convert to fraction form
    224.86/335.36 = 222.70/x
  3. Step 3: Cross multiply
    224.86x = 335.36 × 222.70
  4. Step 4: Simplify right side
    224.86x = 74,684.67
  5. Step 5: Solve for x
    x = 74,684.67/224.86
  6. Step 6: Final answer
    x = 332.14

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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.