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Finding the Fourth Proportional to 262.78, 394.46 and 141.01

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Solution

The fourth proportional to 262.78, 394.46 and 141.01 is: 211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 394.46 = 141.01 : x
  2. Step 2: Convert to fraction form
    262.78/394.46 = 141.01/x
  3. Step 3: Cross multiply
    262.78x = 394.46 × 141.01
  4. Step 4: Simplify right side
    262.78x = 55,622.80
  5. Step 5: Solve for x
    x = 55,622.80/262.78
  6. Step 6: Final answer
    x = 211.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.