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Finding the Fourth Proportional to 449.23, 619.91 and 272.23

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Solution

The fourth proportional to 449.23, 619.91 and 272.23 is: 375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.23 : 619.91 = 272.23 : x
  2. Step 2: Convert to fraction form
    449.23/619.91 = 272.23/x
  3. Step 3: Cross multiply
    449.23x = 619.91 × 272.23
  4. Step 4: Simplify right side
    449.23x = 168,758.10
  5. Step 5: Solve for x
    x = 168,758.10/449.23
  6. Step 6: Final answer
    x = 375.66

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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.