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Finding the Fourth Proportional to 395.85, 546.60 and 248.74

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Solution

The fourth proportional to 395.85, 546.60 and 248.74 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.85 : 546.60 = 248.74 : x
  2. Step 2: Convert to fraction form
    395.85/546.60 = 248.74/x
  3. Step 3: Cross multiply
    395.85x = 546.60 × 248.74
  4. Step 4: Simplify right side
    395.85x = 135,961.28
  5. Step 5: Solve for x
    x = 135,961.28/395.85
  6. Step 6: Final answer
    x = 343.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.