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Finding the Fourth Proportional to 415.54, 573.24 and 360.19

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Solution

The fourth proportional to 415.54, 573.24 and 360.19 is: 496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.54 : 573.24 = 360.19 : x
  2. Step 2: Convert to fraction form
    415.54/573.24 = 360.19/x
  3. Step 3: Cross multiply
    415.54x = 573.24 × 360.19
  4. Step 4: Simplify right side
    415.54x = 206,475.32
  5. Step 5: Solve for x
    x = 206,475.32/415.54
  6. Step 6: Final answer
    x = 496.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.