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Finding the Fourth Proportional to 275.64, 379.28 and 274.12

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Solution

The fourth proportional to 275.64, 379.28 and 274.12 is: 377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 379.28 = 274.12 : x
  2. Step 2: Convert to fraction form
    275.64/379.28 = 274.12/x
  3. Step 3: Cross multiply
    275.64x = 379.28 × 274.12
  4. Step 4: Simplify right side
    275.64x = 103,968.23
  5. Step 5: Solve for x
    x = 103,968.23/275.64
  6. Step 6: Final answer
    x = 377.19

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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.