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Finding the Fourth Proportional to 204.78, 306.68 and 164.06

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Solution

The fourth proportional to 204.78, 306.68 and 164.06 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.78 : 306.68 = 164.06 : x
  2. Step 2: Convert to fraction form
    204.78/306.68 = 164.06/x
  3. Step 3: Cross multiply
    204.78x = 306.68 × 164.06
  4. Step 4: Simplify right side
    204.78x = 50,313.92
  5. Step 5: Solve for x
    x = 50,313.92/204.78
  6. Step 6: Final answer
    x = 245.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.