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Finding the Fourth Proportional to 321.53, 481.86 and 145.70

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Solution

The fourth proportional to 321.53, 481.86 and 145.70 is: 218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.53 : 481.86 = 145.70 : x
  2. Step 2: Convert to fraction form
    321.53/481.86 = 145.70/x
  3. Step 3: Cross multiply
    321.53x = 481.86 × 145.70
  4. Step 4: Simplify right side
    321.53x = 70,205.14
  5. Step 5: Solve for x
    x = 70,205.14/321.53
  6. Step 6: Final answer
    x = 218.35

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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.