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Finding the Fourth Proportional to 301.37, 451.23 and 228.03

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Solution

The fourth proportional to 301.37, 451.23 and 228.03 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 451.23 = 228.03 : x
  2. Step 2: Convert to fraction form
    301.37/451.23 = 228.03/x
  3. Step 3: Cross multiply
    301.37x = 451.23 × 228.03
  4. Step 4: Simplify right side
    301.37x = 102,893.98
  5. Step 5: Solve for x
    x = 102,893.98/301.37
  6. Step 6: Final answer
    x = 341.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.