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Finding the Fourth Proportional to 540.97, 746.24 and 319.70

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Solution

The fourth proportional to 540.97, 746.24 and 319.70 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 746.24 = 319.70 : x
  2. Step 2: Convert to fraction form
    540.97/746.24 = 319.70/x
  3. Step 3: Cross multiply
    540.97x = 746.24 × 319.70
  4. Step 4: Simplify right side
    540.97x = 238,573.20
  5. Step 5: Solve for x
    x = 238,573.20/540.97
  6. Step 6: Final answer
    x = 441.01

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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.