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Finding the Fourth Proportional to 418.62, 577.97 and 261.49

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Solution

The fourth proportional to 418.62, 577.97 and 261.49 is: 361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.62 : 577.97 = 261.49 : x
  2. Step 2: Convert to fraction form
    418.62/577.97 = 261.49/x
  3. Step 3: Cross multiply
    418.62x = 577.97 × 261.49
  4. Step 4: Simplify right side
    418.62x = 151,133.38
  5. Step 5: Solve for x
    x = 151,133.38/418.62
  6. Step 6: Final answer
    x = 361.03

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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.