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Finding the Fourth Proportional to 204.31, 306.10 and 143.16

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Solution

The fourth proportional to 204.31, 306.10 and 143.16 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 306.10 = 143.16 : x
  2. Step 2: Convert to fraction form
    204.31/306.10 = 143.16/x
  3. Step 3: Cross multiply
    204.31x = 306.10 × 143.16
  4. Step 4: Simplify right side
    204.31x = 43,821.28
  5. Step 5: Solve for x
    x = 43,821.28/204.31
  6. Step 6: Final answer
    x = 214.48

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