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Finding the Fourth Proportional to 415.92, 620.26 and 369.30

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Solution

The fourth proportional to 415.92, 620.26 and 369.30 is: 550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 620.26 = 369.30 : x
  2. Step 2: Convert to fraction form
    415.92/620.26 = 369.30/x
  3. Step 3: Cross multiply
    415.92x = 620.26 × 369.30
  4. Step 4: Simplify right side
    415.92x = 229,062.02
  5. Step 5: Solve for x
    x = 229,062.02/415.92
  6. Step 6: Final answer
    x = 550.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.