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Finding the Fourth Proportional to 402.68, 552.01 and 395.32

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Solution

The fourth proportional to 402.68, 552.01 and 395.32 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.68 : 552.01 = 395.32 : x
  2. Step 2: Convert to fraction form
    402.68/552.01 = 395.32/x
  3. Step 3: Cross multiply
    402.68x = 552.01 × 395.32
  4. Step 4: Simplify right side
    402.68x = 218,220.59
  5. Step 5: Solve for x
    x = 218,220.59/402.68
  6. Step 6: Final answer
    x = 541.92

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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.