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Finding the Fourth Proportional to 421.81, 635.84 and 350.13

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Solution

The fourth proportional to 421.81, 635.84 and 350.13 is: 527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.81 : 635.84 = 350.13 : x
  2. Step 2: Convert to fraction form
    421.81/635.84 = 350.13/x
  3. Step 3: Cross multiply
    421.81x = 635.84 × 350.13
  4. Step 4: Simplify right side
    421.81x = 222,626.66
  5. Step 5: Solve for x
    x = 222,626.66/421.81
  6. Step 6: Final answer
    x = 527.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.