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Finding the Fourth Proportional to 338.21, 507.31 and 132.83

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Solution

The fourth proportional to 338.21, 507.31 and 132.83 is: 199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 507.31 = 132.83 : x
  2. Step 2: Convert to fraction form
    338.21/507.31 = 132.83/x
  3. Step 3: Cross multiply
    338.21x = 507.31 × 132.83
  4. Step 4: Simplify right side
    338.21x = 67,387.87
  5. Step 5: Solve for x
    x = 67,387.87/338.21
  6. Step 6: Final answer
    x = 199.25

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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.