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Finding the Fourth Proportional to 386.96, 580.68 and 216.08

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Solution

The fourth proportional to 386.96, 580.68 and 216.08 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 580.68 = 216.08 : x
  2. Step 2: Convert to fraction form
    386.96/580.68 = 216.08/x
  3. Step 3: Cross multiply
    386.96x = 580.68 × 216.08
  4. Step 4: Simplify right side
    386.96x = 125,473.33
  5. Step 5: Solve for x
    x = 125,473.33/386.96
  6. Step 6: Final answer
    x = 324.25

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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.