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Finding the Fourth Proportional to 257.26, 386.12 and 120.38

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Solution

The fourth proportional to 257.26, 386.12 and 120.38 is: 180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.26 : 386.12 = 120.38 : x
  2. Step 2: Convert to fraction form
    257.26/386.12 = 120.38/x
  3. Step 3: Cross multiply
    257.26x = 386.12 × 120.38
  4. Step 4: Simplify right side
    257.26x = 46,483.12
  5. Step 5: Solve for x
    x = 46,483.12/257.26
  6. Step 6: Final answer
    x = 180.68

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Why These Related Problems?

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