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Finding the Fourth Proportional to 188.49, 261.31 and 181.80

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Solution

The fourth proportional to 188.49, 261.31 and 181.80 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.49 : 261.31 = 181.80 : x
  2. Step 2: Convert to fraction form
    188.49/261.31 = 181.80/x
  3. Step 3: Cross multiply
    188.49x = 261.31 × 181.80
  4. Step 4: Simplify right side
    188.49x = 47,507.27
  5. Step 5: Solve for x
    x = 47,507.27/188.49
  6. Step 6: Final answer
    x = 252.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.