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Finding the Fourth Proportional to 418.91, 577.73 and 271.49

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Solution

The fourth proportional to 418.91, 577.73 and 271.49 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 577.73 = 271.49 : x
  2. Step 2: Convert to fraction form
    418.91/577.73 = 271.49/x
  3. Step 3: Cross multiply
    418.91x = 577.73 × 271.49
  4. Step 4: Simplify right side
    418.91x = 156,845.71
  5. Step 5: Solve for x
    x = 156,845.71/418.91
  6. Step 6: Final answer
    x = 374.42

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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.