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Finding the Fourth Proportional to 338.78, 508.56 and 185

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Solution

The fourth proportional to 338.78, 508.56 and 185 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 508.56 = 185 : x
  2. Step 2: Convert to fraction form
    338.78/508.56 = 185/x
  3. Step 3: Cross multiply
    338.78x = 508.56 × 185
  4. Step 4: Simplify right side
    338.78x = 94,083.60
  5. Step 5: Solve for x
    x = 94,083.60/338.78
  6. Step 6: Final answer
    x = 277.71

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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.