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Finding the Fourth Proportional to 204.53, 306.80 and 164.03

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Solution

The fourth proportional to 204.53, 306.80 and 164.03 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 306.80 = 164.03 : x
  2. Step 2: Convert to fraction form
    204.53/306.80 = 164.03/x
  3. Step 3: Cross multiply
    204.53x = 306.80 × 164.03
  4. Step 4: Simplify right side
    204.53x = 50,324.40
  5. Step 5: Solve for x
    x = 50,324.40/204.53
  6. Step 6: Final answer
    x = 246.05

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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.