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Finding the Fourth Proportional to 391.40, 540.14 and 214.37

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Solution

The fourth proportional to 391.40, 540.14 and 214.37 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.40 : 540.14 = 214.37 : x
  2. Step 2: Convert to fraction form
    391.40/540.14 = 214.37/x
  3. Step 3: Cross multiply
    391.40x = 540.14 × 214.37
  4. Step 4: Simplify right side
    391.40x = 115,790.09
  5. Step 5: Solve for x
    x = 115,790.09/391.40
  6. Step 6: Final answer
    x = 295.83

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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.