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Finding the Fourth Proportional to 314.79, 434.27 and 190.37

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Solution

The fourth proportional to 314.79, 434.27 and 190.37 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.79 : 434.27 = 190.37 : x
  2. Step 2: Convert to fraction form
    314.79/434.27 = 190.37/x
  3. Step 3: Cross multiply
    314.79x = 434.27 × 190.37
  4. Step 4: Simplify right side
    314.79x = 82,671.98
  5. Step 5: Solve for x
    x = 82,671.98/314.79
  6. Step 6: Final answer
    x = 262.63

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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.