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Finding the Fourth Proportional to 312.64, 430.80 and 238.96

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Solution

The fourth proportional to 312.64, 430.80 and 238.96 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 430.80 = 238.96 : x
  2. Step 2: Convert to fraction form
    312.64/430.80 = 238.96/x
  3. Step 3: Cross multiply
    312.64x = 430.80 × 238.96
  4. Step 4: Simplify right side
    312.64x = 102,943.97
  5. Step 5: Solve for x
    x = 102,943.97/312.64
  6. Step 6: Final answer
    x = 329.27

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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.