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Finding the Fourth Proportional to 397.87, 596.50 and 189.65

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Solution

The fourth proportional to 397.87, 596.50 and 189.65 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.87 : 596.50 = 189.65 : x
  2. Step 2: Convert to fraction form
    397.87/596.50 = 189.65/x
  3. Step 3: Cross multiply
    397.87x = 596.50 × 189.65
  4. Step 4: Simplify right side
    397.87x = 113,126.23
  5. Step 5: Solve for x
    x = 113,126.23/397.87
  6. Step 6: Final answer
    x = 284.33

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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.