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Finding the Fourth Proportional to 321.21, 479.81 and 233.80

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Solution

The fourth proportional to 321.21, 479.81 and 233.80 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.21 : 479.81 = 233.80 : x
  2. Step 2: Convert to fraction form
    321.21/479.81 = 233.80/x
  3. Step 3: Cross multiply
    321.21x = 479.81 × 233.80
  4. Step 4: Simplify right side
    321.21x = 112,178.96
  5. Step 5: Solve for x
    x = 112,178.96/321.21
  6. Step 6: Final answer
    x = 349.24

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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.