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Finding the Fourth Proportional to 204.93, 282.99 and 131.42

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Solution

The fourth proportional to 204.93, 282.99 and 131.42 is: 181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 282.99 = 131.42 : x
  2. Step 2: Convert to fraction form
    204.93/282.99 = 131.42/x
  3. Step 3: Cross multiply
    204.93x = 282.99 × 131.42
  4. Step 4: Simplify right side
    204.93x = 37,190.55
  5. Step 5: Solve for x
    x = 37,190.55/204.93
  6. Step 6: Final answer
    x = 181.48

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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.