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Finding the Fourth Proportional to 204.78, 305.90 and 164.28

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Solution

The fourth proportional to 204.78, 305.90 and 164.28 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.78 : 305.90 = 164.28 : x
  2. Step 2: Convert to fraction form
    204.78/305.90 = 164.28/x
  3. Step 3: Cross multiply
    204.78x = 305.90 × 164.28
  4. Step 4: Simplify right side
    204.78x = 50,253.66
  5. Step 5: Solve for x
    x = 50,253.66/204.78
  6. Step 6: Final answer
    x = 245.40

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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.