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Finding the Fourth Proportional to 380.67, 525.29 and 233.27

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Solution

The fourth proportional to 380.67, 525.29 and 233.27 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.67 : 525.29 = 233.27 : x
  2. Step 2: Convert to fraction form
    380.67/525.29 = 233.27/x
  3. Step 3: Cross multiply
    380.67x = 525.29 × 233.27
  4. Step 4: Simplify right side
    380.67x = 122,534.40
  5. Step 5: Solve for x
    x = 122,534.40/380.67
  6. Step 6: Final answer
    x = 321.89

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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.