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Finding the Fourth Proportional to 188.82, 261.59 and 184.56

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Solution

The fourth proportional to 188.82, 261.59 and 184.56 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 261.59 = 184.56 : x
  2. Step 2: Convert to fraction form
    188.82/261.59 = 184.56/x
  3. Step 3: Cross multiply
    188.82x = 261.59 × 184.56
  4. Step 4: Simplify right side
    188.82x = 48,278.13
  5. Step 5: Solve for x
    x = 48,278.13/188.82
  6. Step 6: Final answer
    x = 255.68

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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.