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Finding the Fourth Proportional to 186.82, 257.80 and 109.20

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Solution

The fourth proportional to 186.82, 257.80 and 109.20 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.80 = 109.20 : x
  2. Step 2: Convert to fraction form
    186.82/257.80 = 109.20/x
  3. Step 3: Cross multiply
    186.82x = 257.80 × 109.20
  4. Step 4: Simplify right side
    186.82x = 28,151.76
  5. Step 5: Solve for x
    x = 28,151.76/186.82
  6. Step 6: Final answer
    x = 150.69

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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.