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Finding the Fourth Proportional to 466.78, 644.49 and 301.09

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Solution

The fourth proportional to 466.78, 644.49 and 301.09 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 644.49 = 301.09 : x
  2. Step 2: Convert to fraction form
    466.78/644.49 = 301.09/x
  3. Step 3: Cross multiply
    466.78x = 644.49 × 301.09
  4. Step 4: Simplify right side
    466.78x = 194,046.27
  5. Step 5: Solve for x
    x = 194,046.27/466.78
  6. Step 6: Final answer
    x = 415.72

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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.