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Finding the Fourth Proportional to 321.41, 484 and 230.75

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Solution

The fourth proportional to 321.41, 484 and 230.75 is: 347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.41 : 484 = 230.75 : x
  2. Step 2: Convert to fraction form
    321.41/484 = 230.75/x
  3. Step 3: Cross multiply
    321.41x = 484 × 230.75
  4. Step 4: Simplify right side
    321.41x = 111,680.58
  5. Step 5: Solve for x
    x = 111,680.58/321.41
  6. Step 6: Final answer
    x = 347.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.