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Finding the Fourth Proportional to 274.23, 378.05 and 227.00

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Solution

The fourth proportional to 274.23, 378.05 and 227.00 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 378.05 = 227.00 : x
  2. Step 2: Convert to fraction form
    274.23/378.05 = 227.00/x
  3. Step 3: Cross multiply
    274.23x = 378.05 × 227.00
  4. Step 4: Simplify right side
    274.23x = 85,814.32
  5. Step 5: Solve for x
    x = 85,814.32/274.23
  6. Step 6: Final answer
    x = 312.93

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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.