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Finding the Fourth Proportional to 402.63, 552 and 395.34

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Solution

The fourth proportional to 402.63, 552 and 395.34 is: 542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 552 = 395.34 : x
  2. Step 2: Convert to fraction form
    402.63/552 = 395.34/x
  3. Step 3: Cross multiply
    402.63x = 552 × 395.34
  4. Step 4: Simplify right side
    402.63x = 218,227.68
  5. Step 5: Solve for x
    x = 218,227.68/402.63
  6. Step 6: Final answer
    x = 542.01

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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.