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Finding the Fourth Proportional to 540.97, 746.43 and 319.84

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Solution

The fourth proportional to 540.97, 746.43 and 319.84 is: 441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 746.43 = 319.84 : x
  2. Step 2: Convert to fraction form
    540.97/746.43 = 319.84/x
  3. Step 3: Cross multiply
    540.97x = 746.43 × 319.84
  4. Step 4: Simplify right side
    540.97x = 238,738.17
  5. Step 5: Solve for x
    x = 238,738.17/540.97
  6. Step 6: Final answer
    x = 441.31

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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.