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Finding the Fourth Proportional to 319.58, 441.05 and 294.87

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Solution

The fourth proportional to 319.58, 441.05 and 294.87 is: 406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 441.05 = 294.87 : x
  2. Step 2: Convert to fraction form
    319.58/441.05 = 294.87/x
  3. Step 3: Cross multiply
    319.58x = 441.05 × 294.87
  4. Step 4: Simplify right side
    319.58x = 130,050.94
  5. Step 5: Solve for x
    x = 130,050.94/319.58
  6. Step 6: Final answer
    x = 406.95

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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.