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Finding the Fourth Proportional to 223.23, 334.80 and 146.73

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Solution

The fourth proportional to 223.23, 334.80 and 146.73 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 334.80 = 146.73 : x
  2. Step 2: Convert to fraction form
    223.23/334.80 = 146.73/x
  3. Step 3: Cross multiply
    223.23x = 334.80 × 146.73
  4. Step 4: Simplify right side
    223.23x = 49,125.20
  5. Step 5: Solve for x
    x = 49,125.20/223.23
  6. Step 6: Final answer
    x = 220.07

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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.