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Finding the Fourth Proportional to 386.93, 577.19 and 344.12

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Solution

The fourth proportional to 386.93, 577.19 and 344.12 is: 513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.93 : 577.19 = 344.12 : x
  2. Step 2: Convert to fraction form
    386.93/577.19 = 344.12/x
  3. Step 3: Cross multiply
    386.93x = 577.19 × 344.12
  4. Step 4: Simplify right side
    386.93x = 198,618.02
  5. Step 5: Solve for x
    x = 198,618.02/386.93
  6. Step 6: Final answer
    x = 513.32

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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.