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Finding the Fourth Proportional to 567.42, 850.85 and 220.85

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Solution

The fourth proportional to 567.42, 850.85 and 220.85 is: 331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 850.85 = 220.85 : x
  2. Step 2: Convert to fraction form
    567.42/850.85 = 220.85/x
  3. Step 3: Cross multiply
    567.42x = 850.85 × 220.85
  4. Step 4: Simplify right side
    567.42x = 187,904.86
  5. Step 5: Solve for x
    x = 187,904.86/567.42
  6. Step 6: Final answer
    x = 331.16

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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.