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Finding the Fourth Proportional to 188.87, 281.69 and 165.78

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Solution

The fourth proportional to 188.87, 281.69 and 165.78 is: 247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.87 : 281.69 = 165.78 : x
  2. Step 2: Convert to fraction form
    188.87/281.69 = 165.78/x
  3. Step 3: Cross multiply
    188.87x = 281.69 × 165.78
  4. Step 4: Simplify right side
    188.87x = 46,699.29
  5. Step 5: Solve for x
    x = 46,699.29/188.87
  6. Step 6: Final answer
    x = 247.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.