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Finding the Fourth Proportional to 280.98, 385.61 and 276.18

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Solution

The fourth proportional to 280.98, 385.61 and 276.18 is: 379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 385.61 = 276.18 : x
  2. Step 2: Convert to fraction form
    280.98/385.61 = 276.18/x
  3. Step 3: Cross multiply
    280.98x = 385.61 × 276.18
  4. Step 4: Simplify right side
    280.98x = 106,496.39
  5. Step 5: Solve for x
    x = 106,496.39/280.98
  6. Step 6: Final answer
    x = 379.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.