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Finding the Fourth Proportional to 386.10, 577.77 and 309.56

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Solution

The fourth proportional to 386.10, 577.77 and 309.56 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.10 : 577.77 = 309.56 : x
  2. Step 2: Convert to fraction form
    386.10/577.77 = 309.56/x
  3. Step 3: Cross multiply
    386.10x = 577.77 × 309.56
  4. Step 4: Simplify right side
    386.10x = 178,850.43
  5. Step 5: Solve for x
    x = 178,850.43/386.10
  6. Step 6: Final answer
    x = 463.22

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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.