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Finding the Fourth Proportional to 394.31, 543.84 and 342.47

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Solution

The fourth proportional to 394.31, 543.84 and 342.47 is: 472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 543.84 = 342.47 : x
  2. Step 2: Convert to fraction form
    394.31/543.84 = 342.47/x
  3. Step 3: Cross multiply
    394.31x = 543.84 × 342.47
  4. Step 4: Simplify right side
    394.31x = 186,248.88
  5. Step 5: Solve for x
    x = 186,248.88/394.31
  6. Step 6: Final answer
    x = 472.34

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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.