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Finding the Fourth Proportional to 449.35, 619.53 and 344.14

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Solution

The fourth proportional to 449.35, 619.53 and 344.14 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.35 : 619.53 = 344.14 : x
  2. Step 2: Convert to fraction form
    449.35/619.53 = 344.14/x
  3. Step 3: Cross multiply
    449.35x = 619.53 × 344.14
  4. Step 4: Simplify right side
    449.35x = 213,205.05
  5. Step 5: Solve for x
    x = 213,205.05/449.35
  6. Step 6: Final answer
    x = 474.47

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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.