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Finding the Fourth Proportional to 382.73, 577.13 and 340.20

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Solution

The fourth proportional to 382.73, 577.13 and 340.20 is: 513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.73 : 577.13 = 340.20 : x
  2. Step 2: Convert to fraction form
    382.73/577.13 = 340.20/x
  3. Step 3: Cross multiply
    382.73x = 577.13 × 340.20
  4. Step 4: Simplify right side
    382.73x = 196,337.93
  5. Step 5: Solve for x
    x = 196,337.93/382.73
  6. Step 6: Final answer
    x = 513.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.