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Finding the Fourth Proportional to 274.01, 378.29 and 227.50

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Solution

The fourth proportional to 274.01, 378.29 and 227.50 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 378.29 = 227.50 : x
  2. Step 2: Convert to fraction form
    274.01/378.29 = 227.50/x
  3. Step 3: Cross multiply
    274.01x = 378.29 × 227.50
  4. Step 4: Simplify right side
    274.01x = 86,060.60
  5. Step 5: Solve for x
    x = 86,060.60/274.01
  6. Step 6: Final answer
    x = 314.08

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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.