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Finding the Fourth Proportional to 338.89, 509.14 and 217.39

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Solution

The fourth proportional to 338.89, 509.14 and 217.39 is: 326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.89 : 509.14 = 217.39 : x
  2. Step 2: Convert to fraction form
    338.89/509.14 = 217.39/x
  3. Step 3: Cross multiply
    338.89x = 509.14 × 217.39
  4. Step 4: Simplify right side
    338.89x = 110,681.94
  5. Step 5: Solve for x
    x = 110,681.94/338.89
  6. Step 6: Final answer
    x = 326.60

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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.