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Finding the Fourth Proportional to 301.77, 450.93 and 227.16

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Solution

The fourth proportional to 301.77, 450.93 and 227.16 is: 339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.77 : 450.93 = 227.16 : x
  2. Step 2: Convert to fraction form
    301.77/450.93 = 227.16/x
  3. Step 3: Cross multiply
    301.77x = 450.93 × 227.16
  4. Step 4: Simplify right side
    301.77x = 102,433.26
  5. Step 5: Solve for x
    x = 102,433.26/301.77
  6. Step 6: Final answer
    x = 339.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.