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Finding the Fourth Proportional to 300.70, 415.03 and 190.32

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Solution

The fourth proportional to 300.70, 415.03 and 190.32 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 415.03 = 190.32 : x
  2. Step 2: Convert to fraction form
    300.70/415.03 = 190.32/x
  3. Step 3: Cross multiply
    300.70x = 415.03 × 190.32
  4. Step 4: Simplify right side
    300.70x = 78,988.51
  5. Step 5: Solve for x
    x = 78,988.51/300.70
  6. Step 6: Final answer
    x = 262.68

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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.