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Finding the Fourth Proportional to 339.21, 505.94 and 328.96

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Solution

The fourth proportional to 339.21, 505.94 and 328.96 is: 490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.21 : 505.94 = 328.96 : x
  2. Step 2: Convert to fraction form
    339.21/505.94 = 328.96/x
  3. Step 3: Cross multiply
    339.21x = 505.94 × 328.96
  4. Step 4: Simplify right side
    339.21x = 166,432.76
  5. Step 5: Solve for x
    x = 166,432.76/339.21
  6. Step 6: Final answer
    x = 490.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.