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Finding the Fourth Proportional to 236.16, 323.28 and 228.78

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Solution

The fourth proportional to 236.16, 323.28 and 228.78 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.16 : 323.28 = 228.78 : x
  2. Step 2: Convert to fraction form
    236.16/323.28 = 228.78/x
  3. Step 3: Cross multiply
    236.16x = 323.28 × 228.78
  4. Step 4: Simplify right side
    236.16x = 73,960.00
  5. Step 5: Solve for x
    x = 73,960.00/236.16
  6. Step 6: Final answer
    x = 313.18

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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.