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Finding the Fourth Proportional to 386.69, 580.09 and 130.13

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Solution

The fourth proportional to 386.69, 580.09 and 130.13 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 580.09 = 130.13 : x
  2. Step 2: Convert to fraction form
    386.69/580.09 = 130.13/x
  3. Step 3: Cross multiply
    386.69x = 580.09 × 130.13
  4. Step 4: Simplify right side
    386.69x = 75,484.21
  5. Step 5: Solve for x
    x = 75,484.21/386.69
  6. Step 6: Final answer
    x = 195.21

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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.