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Finding the Fourth Proportional to 344.68, 518.10 and 273.40

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Solution

The fourth proportional to 344.68, 518.10 and 273.40 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.68 : 518.10 = 273.40 : x
  2. Step 2: Convert to fraction form
    344.68/518.10 = 273.40/x
  3. Step 3: Cross multiply
    344.68x = 518.10 × 273.40
  4. Step 4: Simplify right side
    344.68x = 141,648.54
  5. Step 5: Solve for x
    x = 141,648.54/344.68
  6. Step 6: Final answer
    x = 410.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.