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Finding the Fourth Proportional to 262.71, 361.80 and 225.99

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Solution

The fourth proportional to 262.71, 361.80 and 225.99 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.71 : 361.80 = 225.99 : x
  2. Step 2: Convert to fraction form
    262.71/361.80 = 225.99/x
  3. Step 3: Cross multiply
    262.71x = 361.80 × 225.99
  4. Step 4: Simplify right side
    262.71x = 81,763.18
  5. Step 5: Solve for x
    x = 81,763.18/262.71
  6. Step 6: Final answer
    x = 311.23

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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.