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Finding the Fourth Proportional to 469.57, 704.36 and 222.69

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Solution

The fourth proportional to 469.57, 704.36 and 222.69 is: 334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 704.36 = 222.69 : x
  2. Step 2: Convert to fraction form
    469.57/704.36 = 222.69/x
  3. Step 3: Cross multiply
    469.57x = 704.36 × 222.69
  4. Step 4: Simplify right side
    469.57x = 156,853.93
  5. Step 5: Solve for x
    x = 156,853.93/469.57
  6. Step 6: Final answer
    x = 334.04

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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.