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Finding the Fourth Proportional to 449.81, 620.70 and 275.12

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Solution

The fourth proportional to 449.81, 620.70 and 275.12 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.81 : 620.70 = 275.12 : x
  2. Step 2: Convert to fraction form
    449.81/620.70 = 275.12/x
  3. Step 3: Cross multiply
    449.81x = 620.70 × 275.12
  4. Step 4: Simplify right side
    449.81x = 170,766.98
  5. Step 5: Solve for x
    x = 170,766.98/449.81
  6. Step 6: Final answer
    x = 379.64

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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.