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Finding the Fourth Proportional to 550, 825.10 and 261.44

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Solution

The fourth proportional to 550, 825.10 and 261.44 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 825.10 = 261.44 : x
  2. Step 2: Convert to fraction form
    550/825.10 = 261.44/x
  3. Step 3: Cross multiply
    550x = 825.10 × 261.44
  4. Step 4: Simplify right side
    550x = 215,714.14
  5. Step 5: Solve for x
    x = 215,714.14/550
  6. Step 6: Final answer
    x = 392.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.