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Finding the Fourth Proportional to 204.93, 305.64 and 192.20

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Solution

The fourth proportional to 204.93, 305.64 and 192.20 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 305.64 = 192.20 : x
  2. Step 2: Convert to fraction form
    204.93/305.64 = 192.20/x
  3. Step 3: Cross multiply
    204.93x = 305.64 × 192.20
  4. Step 4: Simplify right side
    204.93x = 58,742.48
  5. Step 5: Solve for x
    x = 58,742.48/204.93
  6. Step 6: Final answer
    x = 286.65

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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.