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Finding the Fourth Proportional to 360.02, 496.79 and 204.77

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Solution

The fourth proportional to 360.02, 496.79 and 204.77 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 496.79 = 204.77 : x
  2. Step 2: Convert to fraction form
    360.02/496.79 = 204.77/x
  3. Step 3: Cross multiply
    360.02x = 496.79 × 204.77
  4. Step 4: Simplify right side
    360.02x = 101,724.18
  5. Step 5: Solve for x
    x = 101,724.18/360.02
  6. Step 6: Final answer
    x = 282.56

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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.