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Finding the Fourth Proportional to 233.74, 321.78 and 175.42

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Solution

The fourth proportional to 233.74, 321.78 and 175.42 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 321.78 = 175.42 : x
  2. Step 2: Convert to fraction form
    233.74/321.78 = 175.42/x
  3. Step 3: Cross multiply
    233.74x = 321.78 × 175.42
  4. Step 4: Simplify right side
    233.74x = 56,446.65
  5. Step 5: Solve for x
    x = 56,446.65/233.74
  6. Step 6: Final answer
    x = 241.49

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