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Finding the Fourth Proportional to 449.28, 671.16 and 376.38

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Solution

The fourth proportional to 449.28, 671.16 and 376.38 is: 562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 671.16 = 376.38 : x
  2. Step 2: Convert to fraction form
    449.28/671.16 = 376.38/x
  3. Step 3: Cross multiply
    449.28x = 671.16 × 376.38
  4. Step 4: Simplify right side
    449.28x = 252,611.20
  5. Step 5: Solve for x
    x = 252,611.20/449.28
  6. Step 6: Final answer
    x = 562.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.