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Finding the Fourth Proportional to 635.18, 876.52 and 355.42

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Solution

The fourth proportional to 635.18, 876.52 and 355.42 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.18 : 876.52 = 355.42 : x
  2. Step 2: Convert to fraction form
    635.18/876.52 = 355.42/x
  3. Step 3: Cross multiply
    635.18x = 876.52 × 355.42
  4. Step 4: Simplify right side
    635.18x = 311,534.28
  5. Step 5: Solve for x
    x = 311,534.28/635.18
  6. Step 6: Final answer
    x = 490.47

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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.