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Finding the Fourth Proportional to 379.49, 567 and 306.59

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Solution

The fourth proportional to 379.49, 567 and 306.59 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.49 : 567 = 306.59 : x
  2. Step 2: Convert to fraction form
    379.49/567 = 306.59/x
  3. Step 3: Cross multiply
    379.49x = 567 × 306.59
  4. Step 4: Simplify right side
    379.49x = 173,833.70
  5. Step 5: Solve for x
    x = 173,833.70/379.49
  6. Step 6: Final answer
    x = 458.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.