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Finding the Fourth Proportional to 223.25, 333.57 and 195.45

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Solution

The fourth proportional to 223.25, 333.57 and 195.45 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 333.57 = 195.45 : x
  2. Step 2: Convert to fraction form
    223.25/333.57 = 195.45/x
  3. Step 3: Cross multiply
    223.25x = 333.57 × 195.45
  4. Step 4: Simplify right side
    223.25x = 65,196.26
  5. Step 5: Solve for x
    x = 65,196.26/223.25
  6. Step 6: Final answer
    x = 292.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.