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Finding the Fourth Proportional to 418.26, 577.22 and 248.03

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Solution

The fourth proportional to 418.26, 577.22 and 248.03 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 577.22 = 248.03 : x
  2. Step 2: Convert to fraction form
    418.26/577.22 = 248.03/x
  3. Step 3: Cross multiply
    418.26x = 577.22 × 248.03
  4. Step 4: Simplify right side
    418.26x = 143,167.88
  5. Step 5: Solve for x
    x = 143,167.88/418.26
  6. Step 6: Final answer
    x = 342.29

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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.