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Finding the Fourth Proportional to 314.62, 434.09 and 190.28

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Solution

The fourth proportional to 314.62, 434.09 and 190.28 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.62 : 434.09 = 190.28 : x
  2. Step 2: Convert to fraction form
    314.62/434.09 = 190.28/x
  3. Step 3: Cross multiply
    314.62x = 434.09 × 190.28
  4. Step 4: Simplify right side
    314.62x = 82,600.21
  5. Step 5: Solve for x
    x = 82,600.21/314.62
  6. Step 6: Final answer
    x = 262.54

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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.