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Finding the Fourth Proportional to 338.85, 508.05 and 201.56

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Solution

The fourth proportional to 338.85, 508.05 and 201.56 is: 302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.85 : 508.05 = 201.56 : x
  2. Step 2: Convert to fraction form
    338.85/508.05 = 201.56/x
  3. Step 3: Cross multiply
    338.85x = 508.05 × 201.56
  4. Step 4: Simplify right side
    338.85x = 102,400.02
  5. Step 5: Solve for x
    x = 102,400.02/338.85
  6. Step 6: Final answer
    x = 302.20

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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.