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Finding the Fourth Proportional to 443.26, 665.16 and 261.01

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Solution

The fourth proportional to 443.26, 665.16 and 261.01 is: 391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.26 : 665.16 = 261.01 : x
  2. Step 2: Convert to fraction form
    443.26/665.16 = 261.01/x
  3. Step 3: Cross multiply
    443.26x = 665.16 × 261.01
  4. Step 4: Simplify right side
    443.26x = 173,613.41
  5. Step 5: Solve for x
    x = 173,613.41/443.26
  6. Step 6: Final answer
    x = 391.67

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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.