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Finding the Fourth Proportional to 389.08, 535.80 and 364.37

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Solution

The fourth proportional to 389.08, 535.80 and 364.37 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.08 : 535.80 = 364.37 : x
  2. Step 2: Convert to fraction form
    389.08/535.80 = 364.37/x
  3. Step 3: Cross multiply
    389.08x = 535.80 × 364.37
  4. Step 4: Simplify right side
    389.08x = 195,229.45
  5. Step 5: Solve for x
    x = 195,229.45/389.08
  6. Step 6: Final answer
    x = 501.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.