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Finding the Fourth Proportional to 662.11, 992.91 and 223.24

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Solution

The fourth proportional to 662.11, 992.91 and 223.24 is: 334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.11 : 992.91 = 223.24 : x
  2. Step 2: Convert to fraction form
    662.11/992.91 = 223.24/x
  3. Step 3: Cross multiply
    662.11x = 992.91 × 223.24
  4. Step 4: Simplify right side
    662.11x = 221,659.71
  5. Step 5: Solve for x
    x = 221,659.71/662.11
  6. Step 6: Final answer
    x = 334.78

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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.