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Finding the Fourth Proportional to 321, 481.66 and 147.74

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Solution

The fourth proportional to 321, 481.66 and 147.74 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 481.66 = 147.74 : x
  2. Step 2: Convert to fraction form
    321/481.66 = 147.74/x
  3. Step 3: Cross multiply
    321x = 481.66 × 147.74
  4. Step 4: Simplify right side
    321x = 71,160.45
  5. Step 5: Solve for x
    x = 71,160.45/321
  6. Step 6: Final answer
    x = 221.68

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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.