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Finding the Fourth Proportional to 279.93, 418.86 and 170.28

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Solution

The fourth proportional to 279.93, 418.86 and 170.28 is: 254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 418.86 = 170.28 : x
  2. Step 2: Convert to fraction form
    279.93/418.86 = 170.28/x
  3. Step 3: Cross multiply
    279.93x = 418.86 × 170.28
  4. Step 4: Simplify right side
    279.93x = 71,323.48
  5. Step 5: Solve for x
    x = 71,323.48/279.93
  6. Step 6: Final answer
    x = 254.79

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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.