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Finding the Fourth Proportional to 540.94, 746.41 and 319.81

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Solution

The fourth proportional to 540.94, 746.41 and 319.81 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 746.41 = 319.81 : x
  2. Step 2: Convert to fraction form
    540.94/746.41 = 319.81/x
  3. Step 3: Cross multiply
    540.94x = 746.41 × 319.81
  4. Step 4: Simplify right side
    540.94x = 238,709.38
  5. Step 5: Solve for x
    x = 238,709.38/540.94
  6. Step 6: Final answer
    x = 441.29

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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.