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Finding the Fourth Proportional to 397.58, 547.47 and 342.27

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Solution

The fourth proportional to 397.58, 547.47 and 342.27 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.58 : 547.47 = 342.27 : x
  2. Step 2: Convert to fraction form
    397.58/547.47 = 342.27/x
  3. Step 3: Cross multiply
    397.58x = 547.47 × 342.27
  4. Step 4: Simplify right side
    397.58x = 187,382.56
  5. Step 5: Solve for x
    x = 187,382.56/397.58
  6. Step 6: Final answer
    x = 471.31

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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.