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Finding the Fourth Proportional to 188.15, 282.27 and 96.90

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Solution

The fourth proportional to 188.15, 282.27 and 96.90 is: 145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.15 : 282.27 = 96.90 : x
  2. Step 2: Convert to fraction form
    188.15/282.27 = 96.90/x
  3. Step 3: Cross multiply
    188.15x = 282.27 × 96.90
  4. Step 4: Simplify right side
    188.15x = 27,351.96
  5. Step 5: Solve for x
    x = 27,351.96/188.15
  6. Step 6: Final answer
    x = 145.38

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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.