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Finding the Fourth Proportional to 286.12, 392.27 and 280.93

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Solution

The fourth proportional to 286.12, 392.27 and 280.93 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 392.27 = 280.93 : x
  2. Step 2: Convert to fraction form
    286.12/392.27 = 280.93/x
  3. Step 3: Cross multiply
    286.12x = 392.27 × 280.93
  4. Step 4: Simplify right side
    286.12x = 110,198.03
  5. Step 5: Solve for x
    x = 110,198.03/286.12
  6. Step 6: Final answer
    x = 385.15

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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.