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Finding the Fourth Proportional to 386.06, 532.56 and 255.02

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Solution

The fourth proportional to 386.06, 532.56 and 255.02 is: 351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.06 : 532.56 = 255.02 : x
  2. Step 2: Convert to fraction form
    386.06/532.56 = 255.02/x
  3. Step 3: Cross multiply
    386.06x = 532.56 × 255.02
  4. Step 4: Simplify right side
    386.06x = 135,813.45
  5. Step 5: Solve for x
    x = 135,813.45/386.06
  6. Step 6: Final answer
    x = 351.79

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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.