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Finding the Fourth Proportional to 312.32, 431.08 and 214.12

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Solution

The fourth proportional to 312.32, 431.08 and 214.12 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 431.08 = 214.12 : x
  2. Step 2: Convert to fraction form
    312.32/431.08 = 214.12/x
  3. Step 3: Cross multiply
    312.32x = 431.08 × 214.12
  4. Step 4: Simplify right side
    312.32x = 92,302.85
  5. Step 5: Solve for x
    x = 92,302.85/312.32
  6. Step 6: Final answer
    x = 295.54

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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.