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Finding the Fourth Proportional to 386.23, 577.97 and 309.68

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Solution

The fourth proportional to 386.23, 577.97 and 309.68 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 577.97 = 309.68 : x
  2. Step 2: Convert to fraction form
    386.23/577.97 = 309.68/x
  3. Step 3: Cross multiply
    386.23x = 577.97 × 309.68
  4. Step 4: Simplify right side
    386.23x = 178,985.75
  5. Step 5: Solve for x
    x = 178,985.75/386.23
  6. Step 6: Final answer
    x = 463.42

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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.