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Finding the Fourth Proportional to 262.68, 361.36 and 231.04

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Solution

The fourth proportional to 262.68, 361.36 and 231.04 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 361.36 = 231.04 : x
  2. Step 2: Convert to fraction form
    262.68/361.36 = 231.04/x
  3. Step 3: Cross multiply
    262.68x = 361.36 × 231.04
  4. Step 4: Simplify right side
    262.68x = 83,488.61
  5. Step 5: Solve for x
    x = 83,488.61/262.68
  6. Step 6: Final answer
    x = 317.83

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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.