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Finding the Fourth Proportional to 204.29, 282.04 and 134.47

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Solution

The fourth proportional to 204.29, 282.04 and 134.47 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 282.04 = 134.47 : x
  2. Step 2: Convert to fraction form
    204.29/282.04 = 134.47/x
  3. Step 3: Cross multiply
    204.29x = 282.04 × 134.47
  4. Step 4: Simplify right side
    204.29x = 37,927.28
  5. Step 5: Solve for x
    x = 37,927.28/204.29
  6. Step 6: Final answer
    x = 185.65

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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.