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Finding the Fourth Proportional to 415.10, 622.93 and 222.86

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Solution

The fourth proportional to 415.10, 622.93 and 222.86 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.10 : 622.93 = 222.86 : x
  2. Step 2: Convert to fraction form
    415.10/622.93 = 222.86/x
  3. Step 3: Cross multiply
    415.10x = 622.93 × 222.86
  4. Step 4: Simplify right side
    415.10x = 138,826.18
  5. Step 5: Solve for x
    x = 138,826.18/415.10
  6. Step 6: Final answer
    x = 334.44

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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.