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Finding the Fourth Proportional to 188.94, 261.18 and 168.42

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Solution

The fourth proportional to 188.94, 261.18 and 168.42 is: 232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 261.18 = 168.42 : x
  2. Step 2: Convert to fraction form
    188.94/261.18 = 168.42/x
  3. Step 3: Cross multiply
    188.94x = 261.18 × 168.42
  4. Step 4: Simplify right side
    188.94x = 43,987.94
  5. Step 5: Solve for x
    x = 43,987.94/188.94
  6. Step 6: Final answer
    x = 232.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.