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Finding the Fourth Proportional to 321.75, 483.53 and 301.01

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Solution

The fourth proportional to 321.75, 483.53 and 301.01 is: 452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 483.53 = 301.01 : x
  2. Step 2: Convert to fraction form
    321.75/483.53 = 301.01/x
  3. Step 3: Cross multiply
    321.75x = 483.53 × 301.01
  4. Step 4: Simplify right side
    321.75x = 145,543.44
  5. Step 5: Solve for x
    x = 145,543.44/321.75
  6. Step 6: Final answer
    x = 452.35

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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.