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Finding the Fourth Proportional to 380.69, 568.13 and 370.97

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Solution

The fourth proportional to 380.69, 568.13 and 370.97 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.69 : 568.13 = 370.97 : x
  2. Step 2: Convert to fraction form
    380.69/568.13 = 370.97/x
  3. Step 3: Cross multiply
    380.69x = 568.13 × 370.97
  4. Step 4: Simplify right side
    380.69x = 210,754.49
  5. Step 5: Solve for x
    x = 210,754.49/380.69
  6. Step 6: Final answer
    x = 553.62

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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.