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Finding the Fourth Proportional to 397.50, 596.43 and 226.50

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Solution

The fourth proportional to 397.50, 596.43 and 226.50 is: 339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 596.43 = 226.50 : x
  2. Step 2: Convert to fraction form
    397.50/596.43 = 226.50/x
  3. Step 3: Cross multiply
    397.50x = 596.43 × 226.50
  4. Step 4: Simplify right side
    397.50x = 135,091.40
  5. Step 5: Solve for x
    x = 135,091.40/397.50
  6. Step 6: Final answer
    x = 339.85

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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.