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Finding the Fourth Proportional to 280.20, 385.06 and 267.52

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Solution

The fourth proportional to 280.20, 385.06 and 267.52 is: 367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 385.06 = 267.52 : x
  2. Step 2: Convert to fraction form
    280.20/385.06 = 267.52/x
  3. Step 3: Cross multiply
    280.20x = 385.06 × 267.52
  4. Step 4: Simplify right side
    280.20x = 103,011.25
  5. Step 5: Solve for x
    x = 103,011.25/280.20
  6. Step 6: Final answer
    x = 367.63

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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.