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Finding the Fourth Proportional to 467.14, 644.28 and 319.54

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Solution

The fourth proportional to 467.14, 644.28 and 319.54 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 644.28 = 319.54 : x
  2. Step 2: Convert to fraction form
    467.14/644.28 = 319.54/x
  3. Step 3: Cross multiply
    467.14x = 644.28 × 319.54
  4. Step 4: Simplify right side
    467.14x = 205,873.23
  5. Step 5: Solve for x
    x = 205,873.23/467.14
  6. Step 6: Final answer
    x = 440.71

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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.