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Finding the Fourth Proportional to 280.25, 418.10 and 267.19

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Solution

The fourth proportional to 280.25, 418.10 and 267.19 is: 398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 418.10 = 267.19 : x
  2. Step 2: Convert to fraction form
    280.25/418.10 = 267.19/x
  3. Step 3: Cross multiply
    280.25x = 418.10 × 267.19
  4. Step 4: Simplify right side
    280.25x = 111,712.14
  5. Step 5: Solve for x
    x = 111,712.14/280.25
  6. Step 6: Final answer
    x = 398.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.