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Finding the Fourth Proportional to 278.28, 417.03 and 217.14

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Solution

The fourth proportional to 278.28, 417.03 and 217.14 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 417.03 = 217.14 : x
  2. Step 2: Convert to fraction form
    278.28/417.03 = 217.14/x
  3. Step 3: Cross multiply
    278.28x = 417.03 × 217.14
  4. Step 4: Simplify right side
    278.28x = 90,553.89
  5. Step 5: Solve for x
    x = 90,553.89/278.28
  6. Step 6: Final answer
    x = 325.41

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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.