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Finding the Fourth Proportional to 406, 559.08 and 364.48

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Solution

The fourth proportional to 406, 559.08 and 364.48 is: 501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 559.08 = 364.48 : x
  2. Step 2: Convert to fraction form
    406/559.08 = 364.48/x
  3. Step 3: Cross multiply
    406x = 559.08 × 364.48
  4. Step 4: Simplify right side
    406x = 203,773.48
  5. Step 5: Solve for x
    x = 203,773.48/406
  6. Step 6: Final answer
    x = 501.91

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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.