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Finding the Fourth Proportional to 237.81, 327.69 and 159.06

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Solution

The fourth proportional to 237.81, 327.69 and 159.06 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.81 : 327.69 = 159.06 : x
  2. Step 2: Convert to fraction form
    237.81/327.69 = 159.06/x
  3. Step 3: Cross multiply
    237.81x = 327.69 × 159.06
  4. Step 4: Simplify right side
    237.81x = 52,122.37
  5. Step 5: Solve for x
    x = 52,122.37/237.81
  6. Step 6: Final answer
    x = 219.18

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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.