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Finding the Fourth Proportional to 319.74, 441.21 and 179.84

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Solution

The fourth proportional to 319.74, 441.21 and 179.84 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.74 : 441.21 = 179.84 : x
  2. Step 2: Convert to fraction form
    319.74/441.21 = 179.84/x
  3. Step 3: Cross multiply
    319.74x = 441.21 × 179.84
  4. Step 4: Simplify right side
    319.74x = 79,347.33
  5. Step 5: Solve for x
    x = 79,347.33/319.74
  6. Step 6: Final answer
    x = 248.16

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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.