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Finding the Fourth Proportional to 320, 441.76 and 228.16

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Solution

The fourth proportional to 320, 441.76 and 228.16 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 441.76 = 228.16 : x
  2. Step 2: Convert to fraction form
    320/441.76 = 228.16/x
  3. Step 3: Cross multiply
    320x = 441.76 × 228.16
  4. Step 4: Simplify right side
    320x = 100,791.96
  5. Step 5: Solve for x
    x = 100,791.96/320
  6. Step 6: Final answer
    x = 314.97

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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.