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Finding the Fourth Proportional to 262.34, 361.91 and 203.34

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Solution

The fourth proportional to 262.34, 361.91 and 203.34 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.34 : 361.91 = 203.34 : x
  2. Step 2: Convert to fraction form
    262.34/361.91 = 203.34/x
  3. Step 3: Cross multiply
    262.34x = 361.91 × 203.34
  4. Step 4: Simplify right side
    262.34x = 73,589.76
  5. Step 5: Solve for x
    x = 73,589.76/262.34
  6. Step 6: Final answer
    x = 280.52

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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.