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Finding the Fourth Proportional to 262.81, 394.37 and 141.31

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Solution

The fourth proportional to 262.81, 394.37 and 141.31 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 394.37 = 141.31 : x
  2. Step 2: Convert to fraction form
    262.81/394.37 = 141.31/x
  3. Step 3: Cross multiply
    262.81x = 394.37 × 141.31
  4. Step 4: Simplify right side
    262.81x = 55,728.74
  5. Step 5: Solve for x
    x = 55,728.74/262.81
  6. Step 6: Final answer
    x = 212.05

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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.