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Finding the Fourth Proportional to 449.56, 620.24 and 263.02

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Solution

The fourth proportional to 449.56, 620.24 and 263.02 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.56 : 620.24 = 263.02 : x
  2. Step 2: Convert to fraction form
    449.56/620.24 = 263.02/x
  3. Step 3: Cross multiply
    449.56x = 620.24 × 263.02
  4. Step 4: Simplify right side
    449.56x = 163,135.52
  5. Step 5: Solve for x
    x = 163,135.52/449.56
  6. Step 6: Final answer
    x = 362.88

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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.