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Finding the Fourth Proportional to 357.67, 494 and 274.60

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Solution

The fourth proportional to 357.67, 494 and 274.60 is: 379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.67 : 494 = 274.60 : x
  2. Step 2: Convert to fraction form
    357.67/494 = 274.60/x
  3. Step 3: Cross multiply
    357.67x = 494 × 274.60
  4. Step 4: Simplify right side
    357.67x = 135,652.40
  5. Step 5: Solve for x
    x = 135,652.40/357.67
  6. Step 6: Final answer
    x = 379.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.