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Finding the Fourth Proportional to 319.66, 441.12 and 181.66

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Solution

The fourth proportional to 319.66, 441.12 and 181.66 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.66 : 441.12 = 181.66 : x
  2. Step 2: Convert to fraction form
    319.66/441.12 = 181.66/x
  3. Step 3: Cross multiply
    319.66x = 441.12 × 181.66
  4. Step 4: Simplify right side
    319.66x = 80,133.86
  5. Step 5: Solve for x
    x = 80,133.86/319.66
  6. Step 6: Final answer
    x = 250.68

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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.