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Finding the Fourth Proportional to 449.69, 620.80 and 275.13

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Solution

The fourth proportional to 449.69, 620.80 and 275.13 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.69 : 620.80 = 275.13 : x
  2. Step 2: Convert to fraction form
    449.69/620.80 = 275.13/x
  3. Step 3: Cross multiply
    449.69x = 620.80 × 275.13
  4. Step 4: Simplify right side
    449.69x = 170,800.02
  5. Step 5: Solve for x
    x = 170,800.02/449.69
  6. Step 6: Final answer
    x = 379.82

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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.