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Finding the Fourth Proportional to 335.68, 460.74 and 321.60

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Solution

The fourth proportional to 335.68, 460.74 and 321.60 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 460.74 = 321.60 : x
  2. Step 2: Convert to fraction form
    335.68/460.74 = 321.60/x
  3. Step 3: Cross multiply
    335.68x = 460.74 × 321.60
  4. Step 4: Simplify right side
    335.68x = 148,173.98
  5. Step 5: Solve for x
    x = 148,173.98/335.68
  6. Step 6: Final answer
    x = 441.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.