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Finding the Fourth Proportional to 355.31, 533.06 and 138.82

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Solution

The fourth proportional to 355.31, 533.06 and 138.82 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 533.06 = 138.82 : x
  2. Step 2: Convert to fraction form
    355.31/533.06 = 138.82/x
  3. Step 3: Cross multiply
    355.31x = 533.06 × 138.82
  4. Step 4: Simplify right side
    355.31x = 73,996.03
  5. Step 5: Solve for x
    x = 73,996.03/355.31
  6. Step 6: Final answer
    x = 208.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.