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Finding the Fourth Proportional to 391.07, 537.43 and 380.14

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Solution

The fourth proportional to 391.07, 537.43 and 380.14 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.07 : 537.43 = 380.14 : x
  2. Step 2: Convert to fraction form
    391.07/537.43 = 380.14/x
  3. Step 3: Cross multiply
    391.07x = 537.43 × 380.14
  4. Step 4: Simplify right side
    391.07x = 204,298.64
  5. Step 5: Solve for x
    x = 204,298.64/391.07
  6. Step 6: Final answer
    x = 522.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.