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Finding the Fourth Proportional to 397.80, 546.17 and 350.76

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Solution

The fourth proportional to 397.80, 546.17 and 350.76 is: 481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 546.17 = 350.76 : x
  2. Step 2: Convert to fraction form
    397.80/546.17 = 350.76/x
  3. Step 3: Cross multiply
    397.80x = 546.17 × 350.76
  4. Step 4: Simplify right side
    397.80x = 191,574.59
  5. Step 5: Solve for x
    x = 191,574.59/397.80
  6. Step 6: Final answer
    x = 481.59

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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.