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Finding the Fourth Proportional to 188.79, 281.80 and 163.17

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Solution

The fourth proportional to 188.79, 281.80 and 163.17 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.79 : 281.80 = 163.17 : x
  2. Step 2: Convert to fraction form
    188.79/281.80 = 163.17/x
  3. Step 3: Cross multiply
    188.79x = 281.80 × 163.17
  4. Step 4: Simplify right side
    188.79x = 45,981.31
  5. Step 5: Solve for x
    x = 45,981.31/188.79
  6. Step 6: Final answer
    x = 243.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.