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Finding the Fourth Proportional to 275.22, 377.37 and 267.12

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Solution

The fourth proportional to 275.22, 377.37 and 267.12 is: 366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 377.37 = 267.12 : x
  2. Step 2: Convert to fraction form
    275.22/377.37 = 267.12/x
  3. Step 3: Cross multiply
    275.22x = 377.37 × 267.12
  4. Step 4: Simplify right side
    275.22x = 100,803.07
  5. Step 5: Solve for x
    x = 100,803.07/275.22
  6. Step 6: Final answer
    x = 366.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.