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Finding the Fourth Proportional to 275.31, 377.67 and 268.41

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Solution

The fourth proportional to 275.31, 377.67 and 268.41 is: 368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 377.67 = 268.41 : x
  2. Step 2: Convert to fraction form
    275.31/377.67 = 268.41/x
  3. Step 3: Cross multiply
    275.31x = 377.67 × 268.41
  4. Step 4: Simplify right side
    275.31x = 101,370.40
  5. Step 5: Solve for x
    x = 101,370.40/275.31
  6. Step 6: Final answer
    x = 368.20

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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.