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Finding the Fourth Proportional to 262.70, 393.82 and 170.19

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Solution

The fourth proportional to 262.70, 393.82 and 170.19 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 393.82 = 170.19 : x
  2. Step 2: Convert to fraction form
    262.70/393.82 = 170.19/x
  3. Step 3: Cross multiply
    262.70x = 393.82 × 170.19
  4. Step 4: Simplify right side
    262.70x = 67,024.23
  5. Step 5: Solve for x
    x = 67,024.23/262.70
  6. Step 6: Final answer
    x = 255.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.