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Finding the Fourth Proportional to 274.64, 374.24 and 273.68

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Solution

The fourth proportional to 274.64, 374.24 and 273.68 is: 372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 374.24 = 273.68 : x
  2. Step 2: Convert to fraction form
    274.64/374.24 = 273.68/x
  3. Step 3: Cross multiply
    274.64x = 374.24 × 273.68
  4. Step 4: Simplify right side
    274.64x = 102,422.00
  5. Step 5: Solve for x
    x = 102,422.00/274.64
  6. Step 6: Final answer
    x = 372.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.