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Finding the Fourth Proportional to 186.85, 259.10 and 180.71

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Solution

The fourth proportional to 186.85, 259.10 and 180.71 is: 250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.85 : 259.10 = 180.71 : x
  2. Step 2: Convert to fraction form
    186.85/259.10 = 180.71/x
  3. Step 3: Cross multiply
    186.85x = 259.10 × 180.71
  4. Step 4: Simplify right side
    186.85x = 46,819.76
  5. Step 5: Solve for x
    x = 46,819.76/186.85
  6. Step 6: Final answer
    x = 250.58

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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.