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Finding the Fourth Proportional to 567.14, 850.78 and 242.46

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Solution

The fourth proportional to 567.14, 850.78 and 242.46 is: 363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 850.78 = 242.46 : x
  2. Step 2: Convert to fraction form
    567.14/850.78 = 242.46/x
  3. Step 3: Cross multiply
    567.14x = 850.78 × 242.46
  4. Step 4: Simplify right side
    567.14x = 206,280.12
  5. Step 5: Solve for x
    x = 206,280.12/567.14
  6. Step 6: Final answer
    x = 363.72

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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.