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Finding the Fourth Proportional to 334.92, 462.34 and 203.98

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Solution

The fourth proportional to 334.92, 462.34 and 203.98 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 462.34 = 203.98 : x
  2. Step 2: Convert to fraction form
    334.92/462.34 = 203.98/x
  3. Step 3: Cross multiply
    334.92x = 462.34 × 203.98
  4. Step 4: Simplify right side
    334.92x = 94,308.11
  5. Step 5: Solve for x
    x = 94,308.11/334.92
  6. Step 6: Final answer
    x = 281.58

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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.