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Finding the Fourth Proportional to 204.71, 282.45 and 142.47

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Solution

The fourth proportional to 204.71, 282.45 and 142.47 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 282.45 = 142.47 : x
  2. Step 2: Convert to fraction form
    204.71/282.45 = 142.47/x
  3. Step 3: Cross multiply
    204.71x = 282.45 × 142.47
  4. Step 4: Simplify right side
    204.71x = 40,239.94
  5. Step 5: Solve for x
    x = 40,239.94/204.71
  6. Step 6: Final answer
    x = 196.57

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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.