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Finding the Fourth Proportional to 237.42, 327.58 and 137.83

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Solution

The fourth proportional to 237.42, 327.58 and 137.83 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.58 = 137.83 : x
  2. Step 2: Convert to fraction form
    237.42/327.58 = 137.83/x
  3. Step 3: Cross multiply
    237.42x = 327.58 × 137.83
  4. Step 4: Simplify right side
    237.42x = 45,150.35
  5. Step 5: Solve for x
    x = 45,150.35/237.42
  6. Step 6: Final answer
    x = 190.17

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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.