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Finding the Fourth Proportional to 397.22, 546.63 and 394.86

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Solution

The fourth proportional to 397.22, 546.63 and 394.86 is: 543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 546.63 = 394.86 : x
  2. Step 2: Convert to fraction form
    397.22/546.63 = 394.86/x
  3. Step 3: Cross multiply
    397.22x = 546.63 × 394.86
  4. Step 4: Simplify right side
    397.22x = 215,842.32
  5. Step 5: Solve for x
    x = 215,842.32/397.22
  6. Step 6: Final answer
    x = 543.38

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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.