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Finding the Fourth Proportional to 301.37, 416.45 and 227.55

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Solution

The fourth proportional to 301.37, 416.45 and 227.55 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 416.45 = 227.55 : x
  2. Step 2: Convert to fraction form
    301.37/416.45 = 227.55/x
  3. Step 3: Cross multiply
    301.37x = 416.45 × 227.55
  4. Step 4: Simplify right side
    301.37x = 94,763.20
  5. Step 5: Solve for x
    x = 94,763.20/301.37
  6. Step 6: Final answer
    x = 314.44

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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.