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Finding the Fourth Proportional to 449.45, 619.43 and 309.23

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Solution

The fourth proportional to 449.45, 619.43 and 309.23 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.45 : 619.43 = 309.23 : x
  2. Step 2: Convert to fraction form
    449.45/619.43 = 309.23/x
  3. Step 3: Cross multiply
    449.45x = 619.43 × 309.23
  4. Step 4: Simplify right side
    449.45x = 191,546.34
  5. Step 5: Solve for x
    x = 191,546.34/449.45
  6. Step 6: Final answer
    x = 426.18

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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.