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Finding the Fourth Proportional to 449.64, 620.30 and 274.88

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Solution

The fourth proportional to 449.64, 620.30 and 274.88 is: 379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 620.30 = 274.88 : x
  2. Step 2: Convert to fraction form
    449.64/620.30 = 274.88/x
  3. Step 3: Cross multiply
    449.64x = 620.30 × 274.88
  4. Step 4: Simplify right side
    449.64x = 170,508.06
  5. Step 5: Solve for x
    x = 170,508.06/449.64
  6. Step 6: Final answer
    x = 379.21

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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.