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Finding the Fourth Proportional to 449.06, 619.53 and 331.32

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Solution

The fourth proportional to 449.06, 619.53 and 331.32 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 619.53 = 331.32 : x
  2. Step 2: Convert to fraction form
    449.06/619.53 = 331.32/x
  3. Step 3: Cross multiply
    449.06x = 619.53 × 331.32
  4. Step 4: Simplify right side
    449.06x = 205,261.60
  5. Step 5: Solve for x
    x = 205,261.60/449.06
  6. Step 6: Final answer
    x = 457.09

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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.