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Finding the Fourth Proportional to 312.06, 430.79 and 214.33

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Solution

The fourth proportional to 312.06, 430.79 and 214.33 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 430.79 = 214.33 : x
  2. Step 2: Convert to fraction form
    312.06/430.79 = 214.33/x
  3. Step 3: Cross multiply
    312.06x = 430.79 × 214.33
  4. Step 4: Simplify right side
    312.06x = 92,331.22
  5. Step 5: Solve for x
    x = 92,331.22/312.06
  6. Step 6: Final answer
    x = 295.88

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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.