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Finding the Fourth Proportional to 188.97, 282.21 and 164.67

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Solution

The fourth proportional to 188.97, 282.21 and 164.67 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 282.21 = 164.67 : x
  2. Step 2: Convert to fraction form
    188.97/282.21 = 164.67/x
  3. Step 3: Cross multiply
    188.97x = 282.21 × 164.67
  4. Step 4: Simplify right side
    188.97x = 46,471.52
  5. Step 5: Solve for x
    x = 46,471.52/188.97
  6. Step 6: Final answer
    x = 245.92

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