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Finding the Fourth Proportional to 262.18, 361.78 and 144.15

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Solution

The fourth proportional to 262.18, 361.78 and 144.15 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.18 : 361.78 = 144.15 : x
  2. Step 2: Convert to fraction form
    262.18/361.78 = 144.15/x
  3. Step 3: Cross multiply
    262.18x = 361.78 × 144.15
  4. Step 4: Simplify right side
    262.18x = 52,148.87
  5. Step 5: Solve for x
    x = 52,148.87/262.18
  6. Step 6: Final answer
    x = 198.90

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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.