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Finding the Fourth Proportional to 262.24, 361.16 and 209.69

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Solution

The fourth proportional to 262.24, 361.16 and 209.69 is: 288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 361.16 = 209.69 : x
  2. Step 2: Convert to fraction form
    262.24/361.16 = 209.69/x
  3. Step 3: Cross multiply
    262.24x = 361.16 × 209.69
  4. Step 4: Simplify right side
    262.24x = 75,730.93
  5. Step 5: Solve for x
    x = 75,730.93/262.24
  6. Step 6: Final answer
    x = 288.79

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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.