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Finding the Fourth Proportional to 540.73, 746.37 and 344.30

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Solution

The fourth proportional to 540.73, 746.37 and 344.30 is: 475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.73 : 746.37 = 344.30 : x
  2. Step 2: Convert to fraction form
    540.73/746.37 = 344.30/x
  3. Step 3: Cross multiply
    540.73x = 746.37 × 344.30
  4. Step 4: Simplify right side
    540.73x = 256,973.47
  5. Step 5: Solve for x
    x = 256,973.47/540.73
  6. Step 6: Final answer
    x = 475.24

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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.