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Finding the Fourth Proportional to 233.03, 321.20 and 186.24

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Solution

The fourth proportional to 233.03, 321.20 and 186.24 is: 256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.03 : 321.20 = 186.24 : x
  2. Step 2: Convert to fraction form
    233.03/321.20 = 186.24/x
  3. Step 3: Cross multiply
    233.03x = 321.20 × 186.24
  4. Step 4: Simplify right side
    233.03x = 59,819.36
  5. Step 5: Solve for x
    x = 59,819.36/233.03
  6. Step 6: Final answer
    x = 256.71

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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.