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Finding the Fourth Proportional to 399.63, 547.89 and 392.34

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Solution

The fourth proportional to 399.63, 547.89 and 392.34 is: 537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 547.89 = 392.34 : x
  2. Step 2: Convert to fraction form
    399.63/547.89 = 392.34/x
  3. Step 3: Cross multiply
    399.63x = 547.89 × 392.34
  4. Step 4: Simplify right side
    399.63x = 214,959.16
  5. Step 5: Solve for x
    x = 214,959.16/399.63
  6. Step 6: Final answer
    x = 537.90

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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.