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Finding the Fourth Proportional to 186.94, 280.23 and 118.25

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Solution

The fourth proportional to 186.94, 280.23 and 118.25 is: 177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.94 : 280.23 = 118.25 : x
  2. Step 2: Convert to fraction form
    186.94/280.23 = 118.25/x
  3. Step 3: Cross multiply
    186.94x = 280.23 × 118.25
  4. Step 4: Simplify right side
    186.94x = 33,137.20
  5. Step 5: Solve for x
    x = 33,137.20/186.94
  6. Step 6: Final answer
    x = 177.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.