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Finding the Fourth Proportional to 397.03, 546.67 and 344.48

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Solution

The fourth proportional to 397.03, 546.67 and 344.48 is: 474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.03 : 546.67 = 344.48 : x
  2. Step 2: Convert to fraction form
    397.03/546.67 = 344.48/x
  3. Step 3: Cross multiply
    397.03x = 546.67 × 344.48
  4. Step 4: Simplify right side
    397.03x = 188,316.88
  5. Step 5: Solve for x
    x = 188,316.88/397.03
  6. Step 6: Final answer
    x = 474.31

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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.