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Finding the Fourth Proportional to 243.43, 364.43 and 189.16

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Solution

The fourth proportional to 243.43, 364.43 and 189.16 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.43 : 364.43 = 189.16 : x
  2. Step 2: Convert to fraction form
    243.43/364.43 = 189.16/x
  3. Step 3: Cross multiply
    243.43x = 364.43 × 189.16
  4. Step 4: Simplify right side
    243.43x = 68,935.14
  5. Step 5: Solve for x
    x = 68,935.14/243.43
  6. Step 6: Final answer
    x = 283.19

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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.