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Finding the Fourth Proportional to 386.96, 576.71 and 386.36

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Solution

The fourth proportional to 386.96, 576.71 and 386.36 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 576.71 = 386.36 : x
  2. Step 2: Convert to fraction form
    386.96/576.71 = 386.36/x
  3. Step 3: Cross multiply
    386.96x = 576.71 × 386.36
  4. Step 4: Simplify right side
    386.96x = 222,812.86
  5. Step 5: Solve for x
    x = 222,812.86/386.96
  6. Step 6: Final answer
    x = 575.81

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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.