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Finding the Fourth Proportional to 386.28, 532.83 and 253.44

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Solution

The fourth proportional to 386.28, 532.83 and 253.44 is: 349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 532.83 = 253.44 : x
  2. Step 2: Convert to fraction form
    386.28/532.83 = 253.44/x
  3. Step 3: Cross multiply
    386.28x = 532.83 × 253.44
  4. Step 4: Simplify right side
    386.28x = 135,040.44
  5. Step 5: Solve for x
    x = 135,040.44/386.28
  6. Step 6: Final answer
    x = 349.59

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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.