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Finding the Fourth Proportional to 321.98, 480.53 and 261.23

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Solution

The fourth proportional to 321.98, 480.53 and 261.23 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 480.53 = 261.23 : x
  2. Step 2: Convert to fraction form
    321.98/480.53 = 261.23/x
  3. Step 3: Cross multiply
    321.98x = 480.53 × 261.23
  4. Step 4: Simplify right side
    321.98x = 125,527.10
  5. Step 5: Solve for x
    x = 125,527.10/321.98
  6. Step 6: Final answer
    x = 389.87

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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.