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Finding the Fourth Proportional to 286.45, 394.57 and 242.14

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Solution

The fourth proportional to 286.45, 394.57 and 242.14 is: 333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.45 : 394.57 = 242.14 : x
  2. Step 2: Convert to fraction form
    286.45/394.57 = 242.14/x
  3. Step 3: Cross multiply
    286.45x = 394.57 × 242.14
  4. Step 4: Simplify right side
    286.45x = 95,541.18
  5. Step 5: Solve for x
    x = 95,541.18/286.45
  6. Step 6: Final answer
    x = 333.54

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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.