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Finding the Fourth Proportional to 467.21, 644.82 and 356.47

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Solution

The fourth proportional to 467.21, 644.82 and 356.47 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.21 : 644.82 = 356.47 : x
  2. Step 2: Convert to fraction form
    467.21/644.82 = 356.47/x
  3. Step 3: Cross multiply
    467.21x = 644.82 × 356.47
  4. Step 4: Simplify right side
    467.21x = 229,858.09
  5. Step 5: Solve for x
    x = 229,858.09/467.21
  6. Step 6: Final answer
    x = 491.99

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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.