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Finding the Fourth Proportional to 321.99, 480.65 and 283.07

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Solution

The fourth proportional to 321.99, 480.65 and 283.07 is: 422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.99 : 480.65 = 283.07 : x
  2. Step 2: Convert to fraction form
    321.99/480.65 = 283.07/x
  3. Step 3: Cross multiply
    321.99x = 480.65 × 283.07
  4. Step 4: Simplify right side
    321.99x = 136,057.60
  5. Step 5: Solve for x
    x = 136,057.60/321.99
  6. Step 6: Final answer
    x = 422.55

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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.