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Finding the Fourth Proportional to 313.38, 431.78 and 214.96

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Solution

The fourth proportional to 313.38, 431.78 and 214.96 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 431.78 = 214.96 : x
  2. Step 2: Convert to fraction form
    313.38/431.78 = 214.96/x
  3. Step 3: Cross multiply
    313.38x = 431.78 × 214.96
  4. Step 4: Simplify right side
    313.38x = 92,815.43
  5. Step 5: Solve for x
    x = 92,815.43/313.38
  6. Step 6: Final answer
    x = 296.18

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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.