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Finding the Fourth Proportional to 280.92, 386.97 and 262.47

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Solution

The fourth proportional to 280.92, 386.97 and 262.47 is: 361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 386.97 = 262.47 : x
  2. Step 2: Convert to fraction form
    280.92/386.97 = 262.47/x
  3. Step 3: Cross multiply
    280.92x = 386.97 × 262.47
  4. Step 4: Simplify right side
    280.92x = 101,568.02
  5. Step 5: Solve for x
    x = 101,568.02/280.92
  6. Step 6: Final answer
    x = 361.55

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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.