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Finding the Fourth Proportional to 382.79, 527.99 and 233.35

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Solution

The fourth proportional to 382.79, 527.99 and 233.35 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.79 : 527.99 = 233.35 : x
  2. Step 2: Convert to fraction form
    382.79/527.99 = 233.35/x
  3. Step 3: Cross multiply
    382.79x = 527.99 × 233.35
  4. Step 4: Simplify right side
    382.79x = 123,203.98
  5. Step 5: Solve for x
    x = 123,203.98/382.79
  6. Step 6: Final answer
    x = 321.86

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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.