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Finding the Fourth Proportional to 257.38, 386.12 and 109.15

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Solution

The fourth proportional to 257.38, 386.12 and 109.15 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 386.12 = 109.15 : x
  2. Step 2: Convert to fraction form
    257.38/386.12 = 109.15/x
  3. Step 3: Cross multiply
    257.38x = 386.12 × 109.15
  4. Step 4: Simplify right side
    257.38x = 42,145.00
  5. Step 5: Solve for x
    x = 42,145.00/257.38
  6. Step 6: Final answer
    x = 163.75

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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.