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Finding the Fourth Proportional to 386.63, 577.42 and 309.71

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Solution

The fourth proportional to 386.63, 577.42 and 309.71 is: 462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.63 : 577.42 = 309.71 : x
  2. Step 2: Convert to fraction form
    386.63/577.42 = 309.71/x
  3. Step 3: Cross multiply
    386.63x = 577.42 × 309.71
  4. Step 4: Simplify right side
    386.63x = 178,832.75
  5. Step 5: Solve for x
    x = 178,832.75/386.63
  6. Step 6: Final answer
    x = 462.54

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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.