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Finding the Fourth Proportional to 334.81, 462.09 and 203.77

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Solution

The fourth proportional to 334.81, 462.09 and 203.77 is: 281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.81 : 462.09 = 203.77 : x
  2. Step 2: Convert to fraction form
    334.81/462.09 = 203.77/x
  3. Step 3: Cross multiply
    334.81x = 462.09 × 203.77
  4. Step 4: Simplify right side
    334.81x = 94,160.08
  5. Step 5: Solve for x
    x = 94,160.08/334.81
  6. Step 6: Final answer
    x = 281.23

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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.