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Finding the Fourth Proportional to 301.15, 450.60 and 181.98

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Solution

The fourth proportional to 301.15, 450.60 and 181.98 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.15 : 450.60 = 181.98 : x
  2. Step 2: Convert to fraction form
    301.15/450.60 = 181.98/x
  3. Step 3: Cross multiply
    301.15x = 450.60 × 181.98
  4. Step 4: Simplify right side
    301.15x = 81,999.51
  5. Step 5: Solve for x
    x = 81,999.51/301.15
  6. Step 6: Final answer
    x = 272.29

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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.