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Finding the Fourth Proportional to 344.36, 472.11 and 338.21

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Solution

The fourth proportional to 344.36, 472.11 and 338.21 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 472.11 = 338.21 : x
  2. Step 2: Convert to fraction form
    344.36/472.11 = 338.21/x
  3. Step 3: Cross multiply
    344.36x = 472.11 × 338.21
  4. Step 4: Simplify right side
    344.36x = 159,670.46
  5. Step 5: Solve for x
    x = 159,670.46/344.36
  6. Step 6: Final answer
    x = 463.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.