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Finding the Fourth Proportional to 262.50, 361.89 and 204.18

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Solution

The fourth proportional to 262.50, 361.89 and 204.18 is: 281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 361.89 = 204.18 : x
  2. Step 2: Convert to fraction form
    262.50/361.89 = 204.18/x
  3. Step 3: Cross multiply
    262.50x = 361.89 × 204.18
  4. Step 4: Simplify right side
    262.50x = 73,890.70
  5. Step 5: Solve for x
    x = 73,890.70/262.50
  6. Step 6: Final answer
    x = 281.49

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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.