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Finding the Fourth Proportional to 357.37, 492.40 and 274.22

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Solution

The fourth proportional to 357.37, 492.40 and 274.22 is: 377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.37 : 492.40 = 274.22 : x
  2. Step 2: Convert to fraction form
    357.37/492.40 = 274.22/x
  3. Step 3: Cross multiply
    357.37x = 492.40 × 274.22
  4. Step 4: Simplify right side
    357.37x = 135,022.78
  5. Step 5: Solve for x
    x = 135,022.78/357.37
  6. Step 6: Final answer
    x = 377.83

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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.