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Finding the Fourth Proportional to 383.66, 577.58 and 343.97

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Solution

The fourth proportional to 383.66, 577.58 and 343.97 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.66 : 577.58 = 343.97 : x
  2. Step 2: Convert to fraction form
    383.66/577.58 = 343.97/x
  3. Step 3: Cross multiply
    383.66x = 577.58 × 343.97
  4. Step 4: Simplify right side
    383.66x = 198,665.58
  5. Step 5: Solve for x
    x = 198,665.58/383.66
  6. Step 6: Final answer
    x = 517.82

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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.