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Finding the Fourth Proportional to 423.83, 636.05 and 207.56

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Solution

The fourth proportional to 423.83, 636.05 and 207.56 is: 311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 636.05 = 207.56 : x
  2. Step 2: Convert to fraction form
    423.83/636.05 = 207.56/x
  3. Step 3: Cross multiply
    423.83x = 636.05 × 207.56
  4. Step 4: Simplify right side
    423.83x = 132,020.65
  5. Step 5: Solve for x
    x = 132,020.65/423.83
  6. Step 6: Final answer
    x = 311.49

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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.