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Finding the Fourth Proportional to 186.58, 279.14 and 137.50

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Solution

The fourth proportional to 186.58, 279.14 and 137.50 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 279.14 = 137.50 : x
  2. Step 2: Convert to fraction form
    186.58/279.14 = 137.50/x
  3. Step 3: Cross multiply
    186.58x = 279.14 × 137.50
  4. Step 4: Simplify right side
    186.58x = 38,379.67
  5. Step 5: Solve for x
    x = 38,379.67/186.58
  6. Step 6: Final answer
    x = 205.71

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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.