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Finding the Fourth Proportional to 238.51, 327.37 and 228.49

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Solution

The fourth proportional to 238.51, 327.37 and 228.49 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.51 : 327.37 = 228.49 : x
  2. Step 2: Convert to fraction form
    238.51/327.37 = 228.49/x
  3. Step 3: Cross multiply
    238.51x = 327.37 × 228.49
  4. Step 4: Simplify right side
    238.51x = 74,800.77
  5. Step 5: Solve for x
    x = 74,800.77/238.51
  6. Step 6: Final answer
    x = 313.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.