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Finding the Fourth Proportional to 286.11, 426.72 and 243.06

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Solution

The fourth proportional to 286.11, 426.72 and 243.06 is: 362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.11 : 426.72 = 243.06 : x
  2. Step 2: Convert to fraction form
    286.11/426.72 = 243.06/x
  3. Step 3: Cross multiply
    286.11x = 426.72 × 243.06
  4. Step 4: Simplify right side
    286.11x = 103,718.56
  5. Step 5: Solve for x
    x = 103,718.56/286.11
  6. Step 6: Final answer
    x = 362.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.