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Finding the Fourth Proportional to 204.56, 306.76 and 142.84

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Solution

The fourth proportional to 204.56, 306.76 and 142.84 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 306.76 = 142.84 : x
  2. Step 2: Convert to fraction form
    204.56/306.76 = 142.84/x
  3. Step 3: Cross multiply
    204.56x = 306.76 × 142.84
  4. Step 4: Simplify right side
    204.56x = 43,817.60
  5. Step 5: Solve for x
    x = 43,817.60/204.56
  6. Step 6: Final answer
    x = 214.20

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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.