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Finding the Fourth Proportional to 449.31, 620.30 and 316.73

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Solution

The fourth proportional to 449.31, 620.30 and 316.73 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 620.30 = 316.73 : x
  2. Step 2: Convert to fraction form
    449.31/620.30 = 316.73/x
  3. Step 3: Cross multiply
    449.31x = 620.30 × 316.73
  4. Step 4: Simplify right side
    449.31x = 196,466.47
  5. Step 5: Solve for x
    x = 196,466.47/449.31
  6. Step 6: Final answer
    x = 437.26

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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.