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Finding the Fourth Proportional to 360.56, 495.52 and 282.80

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Solution

The fourth proportional to 360.56, 495.52 and 282.80 is: 388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 495.52 = 282.80 : x
  2. Step 2: Convert to fraction form
    360.56/495.52 = 282.80/x
  3. Step 3: Cross multiply
    360.56x = 495.52 × 282.80
  4. Step 4: Simplify right side
    360.56x = 140,133.06
  5. Step 5: Solve for x
    x = 140,133.06/360.56
  6. Step 6: Final answer
    x = 388.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.