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Finding the Fourth Proportional to 188.94, 281.65 and 178.68

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Solution

The fourth proportional to 188.94, 281.65 and 178.68 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 281.65 = 178.68 : x
  2. Step 2: Convert to fraction form
    188.94/281.65 = 178.68/x
  3. Step 3: Cross multiply
    188.94x = 281.65 × 178.68
  4. Step 4: Simplify right side
    188.94x = 50,326.37
  5. Step 5: Solve for x
    x = 50,326.37/188.94
  6. Step 6: Final answer
    x = 266.36

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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.