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Finding the Fourth Proportional to 270.90, 407.94 and 227.94

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Solution

The fourth proportional to 270.90, 407.94 and 227.94 is: 343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 407.94 = 227.94 : x
  2. Step 2: Convert to fraction form
    270.90/407.94 = 227.94/x
  3. Step 3: Cross multiply
    270.90x = 407.94 × 227.94
  4. Step 4: Simplify right side
    270.90x = 92,985.84
  5. Step 5: Solve for x
    x = 92,985.84/270.90
  6. Step 6: Final answer
    x = 343.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.