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Finding the Fourth Proportional to 262.91, 361.99 and 213.95

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Solution

The fourth proportional to 262.91, 361.99 and 213.95 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 361.99 = 213.95 : x
  2. Step 2: Convert to fraction form
    262.91/361.99 = 213.95/x
  3. Step 3: Cross multiply
    262.91x = 361.99 × 213.95
  4. Step 4: Simplify right side
    262.91x = 77,447.76
  5. Step 5: Solve for x
    x = 77,447.76/262.91
  6. Step 6: Final answer
    x = 294.58

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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.