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Finding the Fourth Proportional to 338.46, 508.14 and 201.57

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Solution

The fourth proportional to 338.46, 508.14 and 201.57 is: 302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.46 : 508.14 = 201.57 : x
  2. Step 2: Convert to fraction form
    338.46/508.14 = 201.57/x
  3. Step 3: Cross multiply
    338.46x = 508.14 × 201.57
  4. Step 4: Simplify right side
    338.46x = 102,425.78
  5. Step 5: Solve for x
    x = 102,425.78/338.46
  6. Step 6: Final answer
    x = 302.62

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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.