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Finding the Fourth Proportional to 188.28, 261.63 and 186

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Solution

The fourth proportional to 188.28, 261.63 and 186 is: 258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 261.63 = 186 : x
  2. Step 2: Convert to fraction form
    188.28/261.63 = 186/x
  3. Step 3: Cross multiply
    188.28x = 261.63 × 186
  4. Step 4: Simplify right side
    188.28x = 48,663.18
  5. Step 5: Solve for x
    x = 48,663.18/188.28
  6. Step 6: Final answer
    x = 258.46

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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.