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Finding the Fourth Proportional to 272.14, 407.72 and 163.74

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Solution

The fourth proportional to 272.14, 407.72 and 163.74 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 407.72 = 163.74 : x
  2. Step 2: Convert to fraction form
    272.14/407.72 = 163.74/x
  3. Step 3: Cross multiply
    272.14x = 407.72 × 163.74
  4. Step 4: Simplify right side
    272.14x = 66,760.07
  5. Step 5: Solve for x
    x = 66,760.07/272.14
  6. Step 6: Final answer
    x = 245.32

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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.