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Finding the Fourth Proportional to 467.60, 645.09 and 310.31

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Solution

The fourth proportional to 467.60, 645.09 and 310.31 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 645.09 = 310.31 : x
  2. Step 2: Convert to fraction form
    467.60/645.09 = 310.31/x
  3. Step 3: Cross multiply
    467.60x = 645.09 × 310.31
  4. Step 4: Simplify right side
    467.60x = 200,174.65
  5. Step 5: Solve for x
    x = 200,174.65/467.60
  6. Step 6: Final answer
    x = 428.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.