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Finding the Fourth Proportional to 186.58, 280.24 and 165.70

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Solution

The fourth proportional to 186.58, 280.24 and 165.70 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 280.24 = 165.70 : x
  2. Step 2: Convert to fraction form
    186.58/280.24 = 165.70/x
  3. Step 3: Cross multiply
    186.58x = 280.24 × 165.70
  4. Step 4: Simplify right side
    186.58x = 46,435.77
  5. Step 5: Solve for x
    x = 46,435.77/186.58
  6. Step 6: Final answer
    x = 248.88

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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.