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Finding the Fourth Proportional to 382.79, 575.40 and 239.42

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Solution

The fourth proportional to 382.79, 575.40 and 239.42 is: 359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.79 : 575.40 = 239.42 : x
  2. Step 2: Convert to fraction form
    382.79/575.40 = 239.42/x
  3. Step 3: Cross multiply
    382.79x = 575.40 × 239.42
  4. Step 4: Simplify right side
    382.79x = 137,762.27
  5. Step 5: Solve for x
    x = 137,762.27/382.79
  6. Step 6: Final answer
    x = 359.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.