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Finding the Fourth Proportional to 418.10, 577.03 and 252.41

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Solution

The fourth proportional to 418.10, 577.03 and 252.41 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 577.03 = 252.41 : x
  2. Step 2: Convert to fraction form
    418.10/577.03 = 252.41/x
  3. Step 3: Cross multiply
    418.10x = 577.03 × 252.41
  4. Step 4: Simplify right side
    418.10x = 145,648.14
  5. Step 5: Solve for x
    x = 145,648.14/418.10
  6. Step 6: Final answer
    x = 348.36

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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.