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Finding the Fourth Proportional to 314.74, 434.14 and 190.44

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Solution

The fourth proportional to 314.74, 434.14 and 190.44 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 434.14 = 190.44 : x
  2. Step 2: Convert to fraction form
    314.74/434.14 = 190.44/x
  3. Step 3: Cross multiply
    314.74x = 434.14 × 190.44
  4. Step 4: Simplify right side
    314.74x = 82,677.15
  5. Step 5: Solve for x
    x = 82,677.15/314.74
  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.