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Finding the Fourth Proportional to 204.64, 305.60 and 192.64

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Solution

The fourth proportional to 204.64, 305.60 and 192.64 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.64 : 305.60 = 192.64 : x
  2. Step 2: Convert to fraction form
    204.64/305.60 = 192.64/x
  3. Step 3: Cross multiply
    204.64x = 305.60 × 192.64
  4. Step 4: Simplify right side
    204.64x = 58,870.78
  5. Step 5: Solve for x
    x = 58,870.78/204.64
  6. Step 6: Final answer
    x = 287.68

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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.