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Finding the Fourth Proportional to 467.39, 644.72 and 299.31

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Solution

The fourth proportional to 467.39, 644.72 and 299.31 is: 412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.39 : 644.72 = 299.31 : x
  2. Step 2: Convert to fraction form
    467.39/644.72 = 299.31/x
  3. Step 3: Cross multiply
    467.39x = 644.72 × 299.31
  4. Step 4: Simplify right side
    467.39x = 192,969.65
  5. Step 5: Solve for x
    x = 192,969.65/467.39
  6. Step 6: Final answer
    x = 412.87

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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.