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Finding the Fourth Proportional to 386.83, 575.44 and 382.92

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Solution

The fourth proportional to 386.83, 575.44 and 382.92 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.83 : 575.44 = 382.92 : x
  2. Step 2: Convert to fraction form
    386.83/575.44 = 382.92/x
  3. Step 3: Cross multiply
    386.83x = 575.44 × 382.92
  4. Step 4: Simplify right side
    386.83x = 220,347.48
  5. Step 5: Solve for x
    x = 220,347.48/386.83
  6. Step 6: Final answer
    x = 569.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.