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Finding the Fourth Proportional to 386.82, 533.94 and 255.84

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Solution

The fourth proportional to 386.82, 533.94 and 255.84 is: 353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 533.94 = 255.84 : x
  2. Step 2: Convert to fraction form
    386.82/533.94 = 255.84/x
  3. Step 3: Cross multiply
    386.82x = 533.94 × 255.84
  4. Step 4: Simplify right side
    386.82x = 136,603.21
  5. Step 5: Solve for x
    x = 136,603.21/386.82
  6. Step 6: Final answer
    x = 353.14

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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.