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Finding the Fourth Proportional to 321.02, 481.08 and 315.08

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Solution

The fourth proportional to 321.02, 481.08 and 315.08 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.02 : 481.08 = 315.08 : x
  2. Step 2: Convert to fraction form
    321.02/481.08 = 315.08/x
  3. Step 3: Cross multiply
    321.02x = 481.08 × 315.08
  4. Step 4: Simplify right side
    321.02x = 151,578.69
  5. Step 5: Solve for x
    x = 151,578.69/321.02
  6. Step 6: Final answer
    x = 472.18

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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.