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Finding the Fourth Proportional to 467.80, 644.96 and 301.72

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Solution

The fourth proportional to 467.80, 644.96 and 301.72 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.80 : 644.96 = 301.72 : x
  2. Step 2: Convert to fraction form
    467.80/644.96 = 301.72/x
  3. Step 3: Cross multiply
    467.80x = 644.96 × 301.72
  4. Step 4: Simplify right side
    467.80x = 194,597.33
  5. Step 5: Solve for x
    x = 194,597.33/467.80
  6. Step 6: Final answer
    x = 415.98

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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.