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Finding the Fourth Proportional to 262.17, 360.32 and 203.85

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Solution

The fourth proportional to 262.17, 360.32 and 203.85 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 360.32 = 203.85 : x
  2. Step 2: Convert to fraction form
    262.17/360.32 = 203.85/x
  3. Step 3: Cross multiply
    262.17x = 360.32 × 203.85
  4. Step 4: Simplify right side
    262.17x = 73,450.21
  5. Step 5: Solve for x
    x = 73,450.21/262.17
  6. Step 6: Final answer
    x = 280.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.