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Finding the Fourth Proportional to 361.11, 541.66 and 155.67

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Solution

The fourth proportional to 361.11, 541.66 and 155.67 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.11 : 541.66 = 155.67 : x
  2. Step 2: Convert to fraction form
    361.11/541.66 = 155.67/x
  3. Step 3: Cross multiply
    361.11x = 541.66 × 155.67
  4. Step 4: Simplify right side
    361.11x = 84,321.57
  5. Step 5: Solve for x
    x = 84,321.57/361.11
  6. Step 6: Final answer
    x = 233.51

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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.