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Finding the Fourth Proportional to 237.25, 327.20 and 154.28

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Solution

The fourth proportional to 237.25, 327.20 and 154.28 is: 212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.25 : 327.20 = 154.28 : x
  2. Step 2: Convert to fraction form
    237.25/327.20 = 154.28/x
  3. Step 3: Cross multiply
    237.25x = 327.20 × 154.28
  4. Step 4: Simplify right side
    237.25x = 50,479.64
  5. Step 5: Solve for x
    x = 50,479.64/237.25
  6. Step 6: Final answer
    x = 212.77

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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.