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Finding the Fourth Proportional to 386.20, 581.99 and 347.73

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Solution

The fourth proportional to 386.20, 581.99 and 347.73 is: 524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 581.99 = 347.73 : x
  2. Step 2: Convert to fraction form
    386.20/581.99 = 347.73/x
  3. Step 3: Cross multiply
    386.20x = 581.99 × 347.73
  4. Step 4: Simplify right side
    386.20x = 202,375.38
  5. Step 5: Solve for x
    x = 202,375.38/386.20
  6. Step 6: Final answer
    x = 524.02

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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.