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Finding the Fourth Proportional to 443.23, 611.69 and 266.20

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Solution

The fourth proportional to 443.23, 611.69 and 266.20 is: 367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.23 : 611.69 = 266.20 : x
  2. Step 2: Convert to fraction form
    443.23/611.69 = 266.20/x
  3. Step 3: Cross multiply
    443.23x = 611.69 × 266.20
  4. Step 4: Simplify right side
    443.23x = 162,829.02
  5. Step 5: Solve for x
    x = 162,829.02/443.23
  6. Step 6: Final answer
    x = 367.37

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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.