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Finding the Fourth Proportional to 338.74, 508.11 and 241.68

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Solution

The fourth proportional to 338.74, 508.11 and 241.68 is: 362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.74 : 508.11 = 241.68 : x
  2. Step 2: Convert to fraction form
    338.74/508.11 = 241.68/x
  3. Step 3: Cross multiply
    338.74x = 508.11 × 241.68
  4. Step 4: Simplify right side
    338.74x = 122,800.02
  5. Step 5: Solve for x
    x = 122,800.02/338.74
  6. Step 6: Final answer
    x = 362.52

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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.