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Finding the Fourth Proportional to 389.38, 582.93 and 366.25

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Solution

The fourth proportional to 389.38, 582.93 and 366.25 is: 548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 582.93 = 366.25 : x
  2. Step 2: Convert to fraction form
    389.38/582.93 = 366.25/x
  3. Step 3: Cross multiply
    389.38x = 582.93 × 366.25
  4. Step 4: Simplify right side
    389.38x = 213,497.74
  5. Step 5: Solve for x
    x = 213,497.74/389.38
  6. Step 6: Final answer
    x = 548.31

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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.