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Finding the Fourth Proportional to 286.08, 395.36 and 275.84

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Solution

The fourth proportional to 286.08, 395.36 and 275.84 is: 381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 395.36 = 275.84 : x
  2. Step 2: Convert to fraction form
    286.08/395.36 = 275.84/x
  3. Step 3: Cross multiply
    286.08x = 395.36 × 275.84
  4. Step 4: Simplify right side
    286.08x = 109,056.10
  5. Step 5: Solve for x
    x = 109,056.10/286.08
  6. Step 6: Final answer
    x = 381.21

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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.