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Finding the Fourth Proportional to 237, 327.09 and 149.70

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Solution

The fourth proportional to 237, 327.09 and 149.70 is: 206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 327.09 = 149.70 : x
  2. Step 2: Convert to fraction form
    237/327.09 = 149.70/x
  3. Step 3: Cross multiply
    237x = 327.09 × 149.70
  4. Step 4: Simplify right side
    237x = 48,965.37
  5. Step 5: Solve for x
    x = 48,965.37/237
  6. Step 6: Final answer
    x = 206.60

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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.