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Finding the Fourth Proportional to 188.32, 261.16 and 182.38

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Solution

The fourth proportional to 188.32, 261.16 and 182.38 is: 252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 261.16 = 182.38 : x
  2. Step 2: Convert to fraction form
    188.32/261.16 = 182.38/x
  3. Step 3: Cross multiply
    188.32x = 261.16 × 182.38
  4. Step 4: Simplify right side
    188.32x = 47,630.36
  5. Step 5: Solve for x
    x = 47,630.36/188.32
  6. Step 6: Final answer
    x = 252.92

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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.