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Finding the Fourth Proportional to 386.86, 580.64 and 204.39

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Solution

The fourth proportional to 386.86, 580.64 and 204.39 is: 306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.86 : 580.64 = 204.39 : x
  2. Step 2: Convert to fraction form
    386.86/580.64 = 204.39/x
  3. Step 3: Cross multiply
    386.86x = 580.64 × 204.39
  4. Step 4: Simplify right side
    386.86x = 118,677.01
  5. Step 5: Solve for x
    x = 118,677.01/386.86
  6. Step 6: Final answer
    x = 306.77

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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.