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Finding the Fourth Proportional to 204.43, 282.25 and 157.72

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Solution

The fourth proportional to 204.43, 282.25 and 157.72 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.43 : 282.25 = 157.72 : x
  2. Step 2: Convert to fraction form
    204.43/282.25 = 157.72/x
  3. Step 3: Cross multiply
    204.43x = 282.25 × 157.72
  4. Step 4: Simplify right side
    204.43x = 44,515.37
  5. Step 5: Solve for x
    x = 44,515.37/204.43
  6. Step 6: Final answer
    x = 217.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.