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Finding the Fourth Proportional to 423.21, 635.18 and 217.91

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Solution

The fourth proportional to 423.21, 635.18 and 217.91 is: 327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.21 : 635.18 = 217.91 : x
  2. Step 2: Convert to fraction form
    423.21/635.18 = 217.91/x
  3. Step 3: Cross multiply
    423.21x = 635.18 × 217.91
  4. Step 4: Simplify right side
    423.21x = 138,412.07
  5. Step 5: Solve for x
    x = 138,412.07/423.21
  6. Step 6: Final answer
    x = 327.05

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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.