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Finding the Fourth Proportional to 233.00, 321.68 and 180.44

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Solution

The fourth proportional to 233.00, 321.68 and 180.44 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.00 : 321.68 = 180.44 : x
  2. Step 2: Convert to fraction form
    233.00/321.68 = 180.44/x
  3. Step 3: Cross multiply
    233.00x = 321.68 × 180.44
  4. Step 4: Simplify right side
    233.00x = 58,041.43
  5. Step 5: Solve for x
    x = 58,041.43/233.00
  6. Step 6: Final answer
    x = 249.11

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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.