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Finding the Fourth Proportional to 416.12, 625.14 and 361.43

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Solution

The fourth proportional to 416.12, 625.14 and 361.43 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 625.14 = 361.43 : x
  2. Step 2: Convert to fraction form
    416.12/625.14 = 361.43/x
  3. Step 3: Cross multiply
    416.12x = 625.14 × 361.43
  4. Step 4: Simplify right side
    416.12x = 225,944.35
  5. Step 5: Solve for x
    x = 225,944.35/416.12
  6. Step 6: Final answer
    x = 542.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.