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Finding the Fourth Proportional to 236.02, 325.78 and 137.84

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Solution

The fourth proportional to 236.02, 325.78 and 137.84 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.02 : 325.78 = 137.84 : x
  2. Step 2: Convert to fraction form
    236.02/325.78 = 137.84/x
  3. Step 3: Cross multiply
    236.02x = 325.78 × 137.84
  4. Step 4: Simplify right side
    236.02x = 44,905.52
  5. Step 5: Solve for x
    x = 44,905.52/236.02
  6. Step 6: Final answer
    x = 190.26

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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.