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Finding the Fourth Proportional to 314.76, 434.34 and 190.42

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Solution

The fourth proportional to 314.76, 434.34 and 190.42 is: 262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.34 = 190.42 : x
  2. Step 2: Convert to fraction form
    314.76/434.34 = 190.42/x
  3. Step 3: Cross multiply
    314.76x = 434.34 × 190.42
  4. Step 4: Simplify right side
    314.76x = 82,707.02
  5. Step 5: Solve for x
    x = 82,707.02/314.76
  6. Step 6: Final answer
    x = 262.76

Related Problems

Find fourth proportional to 157.38, 217.17 and 95.21
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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.