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Finding the Fourth Proportional to 380.33, 524.87 and 233.05

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Solution

The fourth proportional to 380.33, 524.87 and 233.05 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.33 : 524.87 = 233.05 : x
  2. Step 2: Convert to fraction form
    380.33/524.87 = 233.05/x
  3. Step 3: Cross multiply
    380.33x = 524.87 × 233.05
  4. Step 4: Simplify right side
    380.33x = 122,317.16
  5. Step 5: Solve for x
    x = 122,317.16/380.33
  6. Step 6: Final answer
    x = 321.61

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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.