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Finding the Fourth Proportional to 262.28, 360.90 and 255.12

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Solution

The fourth proportional to 262.28, 360.90 and 255.12 is: 351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 360.90 = 255.12 : x
  2. Step 2: Convert to fraction form
    262.28/360.90 = 255.12/x
  3. Step 3: Cross multiply
    262.28x = 360.90 × 255.12
  4. Step 4: Simplify right side
    262.28x = 92,072.81
  5. Step 5: Solve for x
    x = 92,072.81/262.28
  6. Step 6: Final answer
    x = 351.05

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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.