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Finding the Fourth Proportional to 397.81, 596.90 and 189.49

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Solution

The fourth proportional to 397.81, 596.90 and 189.49 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.81 : 596.90 = 189.49 : x
  2. Step 2: Convert to fraction form
    397.81/596.90 = 189.49/x
  3. Step 3: Cross multiply
    397.81x = 596.90 × 189.49
  4. Step 4: Simplify right side
    397.81x = 113,106.58
  5. Step 5: Solve for x
    x = 113,106.58/397.81
  6. Step 6: Final answer
    x = 284.32

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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.