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Finding the Fourth Proportional to 187.08, 281.66 and 165.54

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Solution

The fourth proportional to 187.08, 281.66 and 165.54 is: 249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.08 : 281.66 = 165.54 : x
  2. Step 2: Convert to fraction form
    187.08/281.66 = 165.54/x
  3. Step 3: Cross multiply
    187.08x = 281.66 × 165.54
  4. Step 4: Simplify right side
    187.08x = 46,626.00
  5. Step 5: Solve for x
    x = 46,626.00/187.08
  6. Step 6: Final answer
    x = 249.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.