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Finding the Fourth Proportional to 233.12, 321.68 and 144.66

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Solution

The fourth proportional to 233.12, 321.68 and 144.66 is: 199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 321.68 = 144.66 : x
  2. Step 2: Convert to fraction form
    233.12/321.68 = 144.66/x
  3. Step 3: Cross multiply
    233.12x = 321.68 × 144.66
  4. Step 4: Simplify right side
    233.12x = 46,534.23
  5. Step 5: Solve for x
    x = 46,534.23/233.12
  6. Step 6: Final answer
    x = 199.61

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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.