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Finding the Fourth Proportional to 223.25, 335.30 and 174.65

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Solution

The fourth proportional to 223.25, 335.30 and 174.65 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 335.30 = 174.65 : x
  2. Step 2: Convert to fraction form
    223.25/335.30 = 174.65/x
  3. Step 3: Cross multiply
    223.25x = 335.30 × 174.65
  4. Step 4: Simplify right side
    223.25x = 58,557.60
  5. Step 5: Solve for x
    x = 58,557.60/223.25
  6. Step 6: Final answer
    x = 262.30

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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.