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Finding the Fourth Proportional to 418.10, 629.34 and 355.46

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Solution

The fourth proportional to 418.10, 629.34 and 355.46 is: 535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 629.34 = 355.46 : x
  2. Step 2: Convert to fraction form
    418.10/629.34 = 355.46/x
  3. Step 3: Cross multiply
    418.10x = 629.34 × 355.46
  4. Step 4: Simplify right side
    418.10x = 223,700.72
  5. Step 5: Solve for x
    x = 223,700.72/418.10
  6. Step 6: Final answer
    x = 535.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.