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Finding the Fourth Proportional to 272.44, 407.76 and 169.80

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Solution

The fourth proportional to 272.44, 407.76 and 169.80 is: 254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 407.76 = 169.80 : x
  2. Step 2: Convert to fraction form
    272.44/407.76 = 169.80/x
  3. Step 3: Cross multiply
    272.44x = 407.76 × 169.80
  4. Step 4: Simplify right side
    272.44x = 69,237.65
  5. Step 5: Solve for x
    x = 69,237.65/272.44
  6. Step 6: Final answer
    x = 254.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.