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Finding the Fourth Proportional to 567.64, 850.89 and 220.76

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Solution

The fourth proportional to 567.64, 850.89 and 220.76 is: 330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 850.89 = 220.76 : x
  2. Step 2: Convert to fraction form
    567.64/850.89 = 220.76/x
  3. Step 3: Cross multiply
    567.64x = 850.89 × 220.76
  4. Step 4: Simplify right side
    567.64x = 187,839.52
  5. Step 5: Solve for x
    x = 187,839.52/567.64
  6. Step 6: Final answer
    x = 330.91

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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.