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Finding the Fourth Proportional to 278.71, 419.02 and 227.72

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Solution

The fourth proportional to 278.71, 419.02 and 227.72 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 419.02 = 227.72 : x
  2. Step 2: Convert to fraction form
    278.71/419.02 = 227.72/x
  3. Step 3: Cross multiply
    278.71x = 419.02 × 227.72
  4. Step 4: Simplify right side
    278.71x = 95,420.14
  5. Step 5: Solve for x
    x = 95,420.14/278.71
  6. Step 6: Final answer
    x = 342.36

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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.