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Finding the Fourth Proportional to 319.88, 441.69 and 295.31

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Solution

The fourth proportional to 319.88, 441.69 and 295.31 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 441.69 = 295.31 : x
  2. Step 2: Convert to fraction form
    319.88/441.69 = 295.31/x
  3. Step 3: Cross multiply
    319.88x = 441.69 × 295.31
  4. Step 4: Simplify right side
    319.88x = 130,435.47
  5. Step 5: Solve for x
    x = 130,435.47/319.88
  6. Step 6: Final answer
    x = 407.76

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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.