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Finding the Fourth Proportional to 278.54, 417.33 and 170.11

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Solution

The fourth proportional to 278.54, 417.33 and 170.11 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 417.33 = 170.11 : x
  2. Step 2: Convert to fraction form
    278.54/417.33 = 170.11/x
  3. Step 3: Cross multiply
    278.54x = 417.33 × 170.11
  4. Step 4: Simplify right side
    278.54x = 70,992.01
  5. Step 5: Solve for x
    x = 70,992.01/278.54
  6. Step 6: Final answer
    x = 254.87

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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.