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Finding the Fourth Proportional to 416.27, 625.15 and 395.01

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Solution

The fourth proportional to 416.27, 625.15 and 395.01 is: 593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.27 : 625.15 = 395.01 : x
  2. Step 2: Convert to fraction form
    416.27/625.15 = 395.01/x
  3. Step 3: Cross multiply
    416.27x = 625.15 × 395.01
  4. Step 4: Simplify right side
    416.27x = 246,940.50
  5. Step 5: Solve for x
    x = 246,940.50/416.27
  6. Step 6: Final answer
    x = 593.22

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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.