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Finding the Fourth Proportional to 204.40, 306.60 and 181.60

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Solution

The fourth proportional to 204.40, 306.60 and 181.60 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 306.60 = 181.60 : x
  2. Step 2: Convert to fraction form
    204.40/306.60 = 181.60/x
  3. Step 3: Cross multiply
    204.40x = 306.60 × 181.60
  4. Step 4: Simplify right side
    204.40x = 55,678.56
  5. Step 5: Solve for x
    x = 55,678.56/204.40
  6. Step 6: Final answer
    x = 272.40

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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.