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Finding the Fourth Proportional to 204.26, 304.47 and 192.51

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Solution

The fourth proportional to 204.26, 304.47 and 192.51 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 304.47 = 192.51 : x
  2. Step 2: Convert to fraction form
    204.26/304.47 = 192.51/x
  3. Step 3: Cross multiply
    204.26x = 304.47 × 192.51
  4. Step 4: Simplify right side
    204.26x = 58,613.52
  5. Step 5: Solve for x
    x = 58,613.52/204.26
  6. Step 6: Final answer
    x = 286.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.