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Finding the Fourth Proportional to 321.57, 444.03 and 233.08

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Solution

The fourth proportional to 321.57, 444.03 and 233.08 is: 321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 444.03 = 233.08 : x
  2. Step 2: Convert to fraction form
    321.57/444.03 = 233.08/x
  3. Step 3: Cross multiply
    321.57x = 444.03 × 233.08
  4. Step 4: Simplify right side
    321.57x = 103,494.51
  5. Step 5: Solve for x
    x = 103,494.51/321.57
  6. Step 6: Final answer
    x = 321.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.