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Finding the Fourth Proportional to 319.51, 441.20 and 201.69

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Solution

The fourth proportional to 319.51, 441.20 and 201.69 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.51 : 441.20 = 201.69 : x
  2. Step 2: Convert to fraction form
    319.51/441.20 = 201.69/x
  3. Step 3: Cross multiply
    319.51x = 441.20 × 201.69
  4. Step 4: Simplify right side
    319.51x = 88,986.13
  5. Step 5: Solve for x
    x = 88,986.13/319.51
  6. Step 6: Final answer
    x = 278.51

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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.