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Finding the Fourth Proportional to 443.40, 662.53 and 338.67

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Solution

The fourth proportional to 443.40, 662.53 and 338.67 is: 506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.40 : 662.53 = 338.67 : x
  2. Step 2: Convert to fraction form
    443.40/662.53 = 338.67/x
  3. Step 3: Cross multiply
    443.40x = 662.53 × 338.67
  4. Step 4: Simplify right side
    443.40x = 224,380.69
  5. Step 5: Solve for x
    x = 224,380.69/443.40
  6. Step 6: Final answer
    x = 506.05

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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.