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Finding the Fourth Proportional to 567.28, 850.74 and 242.56

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Solution

The fourth proportional to 567.28, 850.74 and 242.56 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 850.74 = 242.56 : x
  2. Step 2: Convert to fraction form
    567.28/850.74 = 242.56/x
  3. Step 3: Cross multiply
    567.28x = 850.74 × 242.56
  4. Step 4: Simplify right side
    567.28x = 206,355.49
  5. Step 5: Solve for x
    x = 206,355.49/567.28
  6. Step 6: Final answer
    x = 363.76

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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.