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Finding the Fourth Proportional to 262.70, 393.81 and 134.30

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Solution

The fourth proportional to 262.70, 393.81 and 134.30 is: 201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 393.81 = 134.30 : x
  2. Step 2: Convert to fraction form
    262.70/393.81 = 134.30/x
  3. Step 3: Cross multiply
    262.70x = 393.81 × 134.30
  4. Step 4: Simplify right side
    262.70x = 52,888.68
  5. Step 5: Solve for x
    x = 52,888.68/262.70
  6. Step 6: Final answer
    x = 201.33

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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.