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Finding the Fourth Proportional to 635.02, 876.13 and 355.22

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Solution

The fourth proportional to 635.02, 876.13 and 355.22 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.02 : 876.13 = 355.22 : x
  2. Step 2: Convert to fraction form
    635.02/876.13 = 355.22/x
  3. Step 3: Cross multiply
    635.02x = 876.13 × 355.22
  4. Step 4: Simplify right side
    635.02x = 311,218.90
  5. Step 5: Solve for x
    x = 311,218.90/635.02
  6. Step 6: Final answer
    x = 490.09

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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.