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Finding the Fourth Proportional to 286.24, 393.70 and 236.10

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Solution

The fourth proportional to 286.24, 393.70 and 236.10 is: 324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 393.70 = 236.10 : x
  2. Step 2: Convert to fraction form
    286.24/393.70 = 236.10/x
  3. Step 3: Cross multiply
    286.24x = 393.70 × 236.10
  4. Step 4: Simplify right side
    286.24x = 92,952.57
  5. Step 5: Solve for x
    x = 92,952.57/286.24
  6. Step 6: Final answer
    x = 324.74

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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.