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Finding the Fourth Proportional to 395.24, 543.69 and 321.39

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Solution

The fourth proportional to 395.24, 543.69 and 321.39 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 543.69 = 321.39 : x
  2. Step 2: Convert to fraction form
    395.24/543.69 = 321.39/x
  3. Step 3: Cross multiply
    395.24x = 543.69 × 321.39
  4. Step 4: Simplify right side
    395.24x = 174,736.53
  5. Step 5: Solve for x
    x = 174,736.53/395.24
  6. Step 6: Final answer
    x = 442.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.