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Finding the Fourth Proportional to 312.45, 431.08 and 214.30

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Solution

The fourth proportional to 312.45, 431.08 and 214.30 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.45 : 431.08 = 214.30 : x
  2. Step 2: Convert to fraction form
    312.45/431.08 = 214.30/x
  3. Step 3: Cross multiply
    312.45x = 431.08 × 214.30
  4. Step 4: Simplify right side
    312.45x = 92,380.44
  5. Step 5: Solve for x
    x = 92,380.44/312.45
  6. Step 6: Final answer
    x = 295.66

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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.