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Finding the Fourth Proportional to 321.55, 480.37 and 205.07

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Solution

The fourth proportional to 321.55, 480.37 and 205.07 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 480.37 = 205.07 : x
  2. Step 2: Convert to fraction form
    321.55/480.37 = 205.07/x
  3. Step 3: Cross multiply
    321.55x = 480.37 × 205.07
  4. Step 4: Simplify right side
    321.55x = 98,509.13
  5. Step 5: Solve for x
    x = 98,509.13/321.55
  6. Step 6: Final answer
    x = 306.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.