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Finding the Fourth Proportional to 360.36, 496.68 and 281.55

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Solution

The fourth proportional to 360.36, 496.68 and 281.55 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.36 : 496.68 = 281.55 : x
  2. Step 2: Convert to fraction form
    360.36/496.68 = 281.55/x
  3. Step 3: Cross multiply
    360.36x = 496.68 × 281.55
  4. Step 4: Simplify right side
    360.36x = 139,840.25
  5. Step 5: Solve for x
    x = 139,840.25/360.36
  6. Step 6: Final answer
    x = 388.06

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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.