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Finding the Fourth Proportional to 467.08, 644.37 and 301.31

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Solution

The fourth proportional to 467.08, 644.37 and 301.31 is: 415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 644.37 = 301.31 : x
  2. Step 2: Convert to fraction form
    467.08/644.37 = 301.31/x
  3. Step 3: Cross multiply
    467.08x = 644.37 × 301.31
  4. Step 4: Simplify right side
    467.08x = 194,153.19
  5. Step 5: Solve for x
    x = 194,153.19/467.08
  6. Step 6: Final answer
    x = 415.68

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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.