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Finding the Fourth Proportional to 339.49, 505.90 and 328.47

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Solution

The fourth proportional to 339.49, 505.90 and 328.47 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 505.90 = 328.47 : x
  2. Step 2: Convert to fraction form
    339.49/505.90 = 328.47/x
  3. Step 3: Cross multiply
    339.49x = 505.90 × 328.47
  4. Step 4: Simplify right side
    339.49x = 166,172.97
  5. Step 5: Solve for x
    x = 166,172.97/339.49
  6. Step 6: Final answer
    x = 489.48

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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.