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Finding the Fourth Proportional to 286.12, 394.66 and 188.01

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Solution

The fourth proportional to 286.12, 394.66 and 188.01 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 394.66 = 188.01 : x
  2. Step 2: Convert to fraction form
    286.12/394.66 = 188.01/x
  3. Step 3: Cross multiply
    286.12x = 394.66 × 188.01
  4. Step 4: Simplify right side
    286.12x = 74,200.03
  5. Step 5: Solve for x
    x = 74,200.03/286.12
  6. Step 6: Final answer
    x = 259.33

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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.