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Finding the Fourth Proportional to 286.25, 394.74 and 193.10

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Solution

The fourth proportional to 286.25, 394.74 and 193.10 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 394.74 = 193.10 : x
  2. Step 2: Convert to fraction form
    286.25/394.74 = 193.10/x
  3. Step 3: Cross multiply
    286.25x = 394.74 × 193.10
  4. Step 4: Simplify right side
    286.25x = 76,222.32
  5. Step 5: Solve for x
    x = 76,222.32/286.25
  6. Step 6: Final answer
    x = 266.28

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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.