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Finding the Fourth Proportional to 386.10, 532.80 and 254.97

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Solution

The fourth proportional to 386.10, 532.80 and 254.97 is: 351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 532.80 = 254.97 : x
  2. Step 2: Convert to fraction form
    386.10/532.80 = 254.97/x
  3. Step 3: Cross multiply
    386.10x = 532.80 × 254.97
  4. Step 4: Simplify right side
    386.10x = 135,848.02
  5. Step 5: Solve for x
    x = 135,848.02/386.10
  6. Step 6: Final answer
    x = 351.85

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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.