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Finding the Fourth Proportional to 397.63, 596.67 and 181.18

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Solution

The fourth proportional to 397.63, 596.67 and 181.18 is: 271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.63 : 596.67 = 181.18 : x
  2. Step 2: Convert to fraction form
    397.63/596.67 = 181.18/x
  3. Step 3: Cross multiply
    397.63x = 596.67 × 181.18
  4. Step 4: Simplify right side
    397.63x = 108,104.67
  5. Step 5: Solve for x
    x = 108,104.67/397.63
  6. Step 6: Final answer
    x = 271.87

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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.