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Finding the Fourth Proportional to 279.92, 419.32 and 170

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Solution

The fourth proportional to 279.92, 419.32 and 170 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.92 : 419.32 = 170 : x
  2. Step 2: Convert to fraction form
    279.92/419.32 = 170/x
  3. Step 3: Cross multiply
    279.92x = 419.32 × 170
  4. Step 4: Simplify right side
    279.92x = 71,284.40
  5. Step 5: Solve for x
    x = 71,284.40/279.92
  6. Step 6: Final answer
    x = 254.66

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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.