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Finding the Fourth Proportional to 496.20, 744.28 and 360.84

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Solution

The fourth proportional to 496.20, 744.28 and 360.84 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.20 : 744.28 = 360.84 : x
  2. Step 2: Convert to fraction form
    496.20/744.28 = 360.84/x
  3. Step 3: Cross multiply
    496.20x = 744.28 × 360.84
  4. Step 4: Simplify right side
    496.20x = 268,566.00
  5. Step 5: Solve for x
    x = 268,566.00/496.20
  6. Step 6: Final answer
    x = 541.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.