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Finding the Fourth Proportional to 424.01, 635.09 and 261.20

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Solution

The fourth proportional to 424.01, 635.09 and 261.20 is: 391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.01 : 635.09 = 261.20 : x
  2. Step 2: Convert to fraction form
    424.01/635.09 = 261.20/x
  3. Step 3: Cross multiply
    424.01x = 635.09 × 261.20
  4. Step 4: Simplify right side
    424.01x = 165,881.03
  5. Step 5: Solve for x
    x = 165,881.03/424.01
  6. Step 6: Final answer
    x = 391.22

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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.