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Finding the Fourth Proportional to 397.44, 546.48 and 339.12

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Solution

The fourth proportional to 397.44, 546.48 and 339.12 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.44 : 546.48 = 339.12 : x
  2. Step 2: Convert to fraction form
    397.44/546.48 = 339.12/x
  3. Step 3: Cross multiply
    397.44x = 546.48 × 339.12
  4. Step 4: Simplify right side
    397.44x = 185,322.30
  5. Step 5: Solve for x
    x = 185,322.30/397.44
  6. Step 6: Final answer
    x = 466.29

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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.