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Finding the Fourth Proportional to 386.37, 580.77 and 357.21

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Solution

The fourth proportional to 386.37, 580.77 and 357.21 is: 536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 580.77 = 357.21 : x
  2. Step 2: Convert to fraction form
    386.37/580.77 = 357.21/x
  3. Step 3: Cross multiply
    386.37x = 580.77 × 357.21
  4. Step 4: Simplify right side
    386.37x = 207,456.85
  5. Step 5: Solve for x
    x = 207,456.85/386.37
  6. Step 6: Final answer
    x = 536.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.