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Finding the Fourth Proportional to 262.70, 361.77 and 213.20

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Solution

The fourth proportional to 262.70, 361.77 and 213.20 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.70 : 361.77 = 213.20 : x
  2. Step 2: Convert to fraction form
    262.70/361.77 = 213.20/x
  3. Step 3: Cross multiply
    262.70x = 361.77 × 213.20
  4. Step 4: Simplify right side
    262.70x = 77,129.36
  5. Step 5: Solve for x
    x = 77,129.36/262.70
  6. Step 6: Final answer
    x = 293.60

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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.