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Finding the Fourth Proportional to 262.28, 361.89 and 150.23

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Solution

The fourth proportional to 262.28, 361.89 and 150.23 is: 207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 361.89 = 150.23 : x
  2. Step 2: Convert to fraction form
    262.28/361.89 = 150.23/x
  3. Step 3: Cross multiply
    262.28x = 361.89 × 150.23
  4. Step 4: Simplify right side
    262.28x = 54,364.93
  5. Step 5: Solve for x
    x = 54,364.93/262.28
  6. Step 6: Final answer
    x = 207.28

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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.