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Finding the Fourth Proportional to 314.56, 434.09 and 190.29

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Solution

The fourth proportional to 314.56, 434.09 and 190.29 is: 262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 434.09 = 190.29 : x
  2. Step 2: Convert to fraction form
    314.56/434.09 = 190.29/x
  3. Step 3: Cross multiply
    314.56x = 434.09 × 190.29
  4. Step 4: Simplify right side
    314.56x = 82,605.09
  5. Step 5: Solve for x
    x = 82,605.09/314.56
  6. Step 6: Final answer
    x = 262.60

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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.