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Finding the Fourth Proportional to 338.96, 509.40 and 217.52

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Solution

The fourth proportional to 338.96, 509.40 and 217.52 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 509.40 = 217.52 : x
  2. Step 2: Convert to fraction form
    338.96/509.40 = 217.52/x
  3. Step 3: Cross multiply
    338.96x = 509.40 × 217.52
  4. Step 4: Simplify right side
    338.96x = 110,804.69
  5. Step 5: Solve for x
    x = 110,804.69/338.96
  6. Step 6: Final answer
    x = 326.90

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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.