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Finding the Fourth Proportional to 280.43, 385.86 and 273.28

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Solution

The fourth proportional to 280.43, 385.86 and 273.28 is: 376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 385.86 = 273.28 : x
  2. Step 2: Convert to fraction form
    280.43/385.86 = 273.28/x
  3. Step 3: Cross multiply
    280.43x = 385.86 × 273.28
  4. Step 4: Simplify right side
    280.43x = 105,445.89
  5. Step 5: Solve for x
    x = 105,445.89/280.43
  6. Step 6: Final answer
    x = 376.02

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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.