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Finding the Fourth Proportional to 280.19, 386.31 and 180.44

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Solution

The fourth proportional to 280.19, 386.31 and 180.44 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.19 : 386.31 = 180.44 : x
  2. Step 2: Convert to fraction form
    280.19/386.31 = 180.44/x
  3. Step 3: Cross multiply
    280.19x = 386.31 × 180.44
  4. Step 4: Simplify right side
    280.19x = 69,704.52
  5. Step 5: Solve for x
    x = 69,704.52/280.19
  6. Step 6: Final answer
    x = 248.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.