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Finding the Fourth Proportional to 280.25, 419.82 and 170.60

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Solution

The fourth proportional to 280.25, 419.82 and 170.60 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 419.82 = 170.60 : x
  2. Step 2: Convert to fraction form
    280.25/419.82 = 170.60/x
  3. Step 3: Cross multiply
    280.25x = 419.82 × 170.60
  4. Step 4: Simplify right side
    280.25x = 71,621.29
  5. Step 5: Solve for x
    x = 71,621.29/280.25
  6. Step 6: Final answer
    x = 255.56

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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.