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Finding the Fourth Proportional to 312.06, 431.16 and 214.05

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Solution

The fourth proportional to 312.06, 431.16 and 214.05 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 431.16 = 214.05 : x
  2. Step 2: Convert to fraction form
    312.06/431.16 = 214.05/x
  3. Step 3: Cross multiply
    312.06x = 431.16 × 214.05
  4. Step 4: Simplify right side
    312.06x = 92,289.80
  5. Step 5: Solve for x
    x = 92,289.80/312.06
  6. Step 6: Final answer
    x = 295.74

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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.