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Finding the Fourth Proportional to 262.94, 394.10 and 133.03

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Solution

The fourth proportional to 262.94, 394.10 and 133.03 is: 199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 394.10 = 133.03 : x
  2. Step 2: Convert to fraction form
    262.94/394.10 = 133.03/x
  3. Step 3: Cross multiply
    262.94x = 394.10 × 133.03
  4. Step 4: Simplify right side
    262.94x = 52,426.46
  5. Step 5: Solve for x
    x = 52,426.46/262.94
  6. Step 6: Final answer
    x = 199.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.