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Finding the Fourth Proportional to 567.55, 850.71 and 238.67

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Solution

The fourth proportional to 567.55, 850.71 and 238.67 is: 357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.55 : 850.71 = 238.67 : x
  2. Step 2: Convert to fraction form
    567.55/850.71 = 238.67/x
  3. Step 3: Cross multiply
    567.55x = 850.71 × 238.67
  4. Step 4: Simplify right side
    567.55x = 203,038.96
  5. Step 5: Solve for x
    x = 203,038.96/567.55
  6. Step 6: Final answer
    x = 357.75

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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.