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Finding the Fourth Proportional to 339.41, 511.91 and 328.46

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Solution

The fourth proportional to 339.41, 511.91 and 328.46 is: 495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.41 : 511.91 = 328.46 : x
  2. Step 2: Convert to fraction form
    339.41/511.91 = 328.46/x
  3. Step 3: Cross multiply
    339.41x = 511.91 × 328.46
  4. Step 4: Simplify right side
    339.41x = 168,141.96
  5. Step 5: Solve for x
    x = 168,141.96/339.41
  6. Step 6: Final answer
    x = 495.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.