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Finding the Fourth Proportional to 278.37, 417.32 and 107.25

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Solution

The fourth proportional to 278.37, 417.32 and 107.25 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 417.32 = 107.25 : x
  2. Step 2: Convert to fraction form
    278.37/417.32 = 107.25/x
  3. Step 3: Cross multiply
    278.37x = 417.32 × 107.25
  4. Step 4: Simplify right side
    278.37x = 44,757.03
  5. Step 5: Solve for x
    x = 44,757.03/278.37
  6. Step 6: Final answer
    x = 160.78

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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.