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Finding the Fourth Proportional to 379.59, 570.14 and 233.38

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Solution

The fourth proportional to 379.59, 570.14 and 233.38 is: 350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 570.14 = 233.38 : x
  2. Step 2: Convert to fraction form
    379.59/570.14 = 233.38/x
  3. Step 3: Cross multiply
    379.59x = 570.14 × 233.38
  4. Step 4: Simplify right side
    379.59x = 133,059.69
  5. Step 5: Solve for x
    x = 133,059.69/379.59
  6. Step 6: Final answer
    x = 350.54

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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.