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Finding the Fourth Proportional to 449.46, 620.25 and 262.98

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Solution

The fourth proportional to 449.46, 620.25 and 262.98 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 620.25 = 262.98 : x
  2. Step 2: Convert to fraction form
    449.46/620.25 = 262.98/x
  3. Step 3: Cross multiply
    449.46x = 620.25 × 262.98
  4. Step 4: Simplify right side
    449.46x = 163,113.35
  5. Step 5: Solve for x
    x = 163,113.35/449.46
  6. Step 6: Final answer
    x = 362.91

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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.