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Finding the Fourth Proportional to 186.37, 253.74 and 185.79

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Solution

The fourth proportional to 186.37, 253.74 and 185.79 is: 252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.37 : 253.74 = 185.79 : x
  2. Step 2: Convert to fraction form
    186.37/253.74 = 185.79/x
  3. Step 3: Cross multiply
    186.37x = 253.74 × 185.79
  4. Step 4: Simplify right side
    186.37x = 47,142.35
  5. Step 5: Solve for x
    x = 47,142.35/186.37
  6. Step 6: Final answer
    x = 252.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.