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Finding the Fourth Proportional to 204.35, 282.09 and 142.16

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Solution

The fourth proportional to 204.35, 282.09 and 142.16 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 282.09 = 142.16 : x
  2. Step 2: Convert to fraction form
    204.35/282.09 = 142.16/x
  3. Step 3: Cross multiply
    204.35x = 282.09 × 142.16
  4. Step 4: Simplify right side
    204.35x = 40,100.34
  5. Step 5: Solve for x
    x = 40,100.34/204.35
  6. Step 6: Final answer
    x = 196.24

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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.