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Finding the Fourth Proportional to 380.73, 573.77 and 344.19

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Solution

The fourth proportional to 380.73, 573.77 and 344.19 is: 518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.73 : 573.77 = 344.19 : x
  2. Step 2: Convert to fraction form
    380.73/573.77 = 344.19/x
  3. Step 3: Cross multiply
    380.73x = 573.77 × 344.19
  4. Step 4: Simplify right side
    380.73x = 197,484.18
  5. Step 5: Solve for x
    x = 197,484.18/380.73
  6. Step 6: Final answer
    x = 518.70

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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.