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Finding the Fourth Proportional to 237.11, 355.81 and 100.27

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Solution

The fourth proportional to 237.11, 355.81 and 100.27 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.11 : 355.81 = 100.27 : x
  2. Step 2: Convert to fraction form
    237.11/355.81 = 100.27/x
  3. Step 3: Cross multiply
    237.11x = 355.81 × 100.27
  4. Step 4: Simplify right side
    237.11x = 35,674.79
  5. Step 5: Solve for x
    x = 35,674.79/237.11
  6. Step 6: Final answer
    x = 150.46

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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.