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Finding the Fourth Proportional to 233.12, 321.72 and 194.24

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Solution

The fourth proportional to 233.12, 321.72 and 194.24 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 321.72 = 194.24 : x
  2. Step 2: Convert to fraction form
    233.12/321.72 = 194.24/x
  3. Step 3: Cross multiply
    233.12x = 321.72 × 194.24
  4. Step 4: Simplify right side
    233.12x = 62,490.89
  5. Step 5: Solve for x
    x = 62,490.89/233.12
  6. Step 6: Final answer
    x = 268.06

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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.