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Finding the Fourth Proportional to 397.13, 550.37 and 391.05

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Solution

The fourth proportional to 397.13, 550.37 and 391.05 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 550.37 = 391.05 : x
  2. Step 2: Convert to fraction form
    397.13/550.37 = 391.05/x
  3. Step 3: Cross multiply
    397.13x = 550.37 × 391.05
  4. Step 4: Simplify right side
    397.13x = 215,223.17
  5. Step 5: Solve for x
    x = 215,223.17/397.13
  6. Step 6: Final answer
    x = 541.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.