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Finding the Fourth Proportional to 402.54, 552.17 and 399.08

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Solution

The fourth proportional to 402.54, 552.17 and 399.08 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.54 : 552.17 = 399.08 : x
  2. Step 2: Convert to fraction form
    402.54/552.17 = 399.08/x
  3. Step 3: Cross multiply
    402.54x = 552.17 × 399.08
  4. Step 4: Simplify right side
    402.54x = 220,360.00
  5. Step 5: Solve for x
    x = 220,360.00/402.54
  6. Step 6: Final answer
    x = 547.42

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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.