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Finding the Fourth Proportional to 280.26, 419.40 and 177.60

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Solution

The fourth proportional to 280.26, 419.40 and 177.60 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 419.40 = 177.60 : x
  2. Step 2: Convert to fraction form
    280.26/419.40 = 177.60/x
  3. Step 3: Cross multiply
    280.26x = 419.40 × 177.60
  4. Step 4: Simplify right side
    280.26x = 74,485.44
  5. Step 5: Solve for x
    x = 74,485.44/280.26
  6. Step 6: Final answer
    x = 265.77

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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.