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Finding the Fourth Proportional to 402.17, 552.77 and 355.29

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Solution

The fourth proportional to 402.17, 552.77 and 355.29 is: 488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.17 : 552.77 = 355.29 : x
  2. Step 2: Convert to fraction form
    402.17/552.77 = 355.29/x
  3. Step 3: Cross multiply
    402.17x = 552.77 × 355.29
  4. Step 4: Simplify right side
    402.17x = 196,393.13
  5. Step 5: Solve for x
    x = 196,393.13/402.17
  6. Step 6: Final answer
    x = 488.34

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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.