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Finding the Fourth Proportional to 272.93, 407.48 and 227.34

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Solution

The fourth proportional to 272.93, 407.48 and 227.34 is: 339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.93 : 407.48 = 227.34 : x
  2. Step 2: Convert to fraction form
    272.93/407.48 = 227.34/x
  3. Step 3: Cross multiply
    272.93x = 407.48 × 227.34
  4. Step 4: Simplify right side
    272.93x = 92,635.37
  5. Step 5: Solve for x
    x = 92,635.37/272.93
  6. Step 6: Final answer
    x = 339.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.