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Finding the Fourth Proportional to 423.31, 635.23 and 206.77

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Solution

The fourth proportional to 423.31, 635.23 and 206.77 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.31 : 635.23 = 206.77 : x
  2. Step 2: Convert to fraction form
    423.31/635.23 = 206.77/x
  3. Step 3: Cross multiply
    423.31x = 635.23 × 206.77
  4. Step 4: Simplify right side
    423.31x = 131,343.89
  5. Step 5: Solve for x
    x = 131,343.89/423.31
  6. Step 6: Final answer
    x = 310.28

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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.