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Finding the Fourth Proportional to 338.82, 508.37 and 261.76

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Solution

The fourth proportional to 338.82, 508.37 and 261.76 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 508.37 = 261.76 : x
  2. Step 2: Convert to fraction form
    338.82/508.37 = 261.76/x
  3. Step 3: Cross multiply
    338.82x = 508.37 × 261.76
  4. Step 4: Simplify right side
    338.82x = 133,070.93
  5. Step 5: Solve for x
    x = 133,070.93/338.82
  6. Step 6: Final answer
    x = 392.75

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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.