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Finding the Fourth Proportional to 386.69, 580.45 and 143.29

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Solution

The fourth proportional to 386.69, 580.45 and 143.29 is: 215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 580.45 = 143.29 : x
  2. Step 2: Convert to fraction form
    386.69/580.45 = 143.29/x
  3. Step 3: Cross multiply
    386.69x = 580.45 × 143.29
  4. Step 4: Simplify right side
    386.69x = 83,170.87
  5. Step 5: Solve for x
    x = 83,170.87/386.69
  6. Step 6: Final answer
    x = 215.08

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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.