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Finding the Fourth Proportional to 447.83, 669.26 and 360.20

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Solution

The fourth proportional to 447.83, 669.26 and 360.20 is: 538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.83 : 669.26 = 360.20 : x
  2. Step 2: Convert to fraction form
    447.83/669.26 = 360.20/x
  3. Step 3: Cross multiply
    447.83x = 669.26 × 360.20
  4. Step 4: Simplify right side
    447.83x = 241,067.45
  5. Step 5: Solve for x
    x = 241,067.45/447.83
  6. Step 6: Final answer
    x = 538.30

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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.