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Finding the Fourth Proportional to 423.67, 635.38 and 131.08

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Solution

The fourth proportional to 423.67, 635.38 and 131.08 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 635.38 = 131.08 : x
  2. Step 2: Convert to fraction form
    423.67/635.38 = 131.08/x
  3. Step 3: Cross multiply
    423.67x = 635.38 × 131.08
  4. Step 4: Simplify right side
    423.67x = 83,283.69
  5. Step 5: Solve for x
    x = 83,283.69/423.67
  6. Step 6: Final answer
    x = 196.58

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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.