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Finding the Fourth Proportional to 186.42, 279.90 and 137.82

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Solution

The fourth proportional to 186.42, 279.90 and 137.82 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 279.90 = 137.82 : x
  2. Step 2: Convert to fraction form
    186.42/279.90 = 137.82/x
  3. Step 3: Cross multiply
    186.42x = 279.90 × 137.82
  4. Step 4: Simplify right side
    186.42x = 38,575.82
  5. Step 5: Solve for x
    x = 38,575.82/186.42
  6. Step 6: Final answer
    x = 206.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.