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Finding the Fourth Proportional to 418.88, 625.23 and 369.64

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Solution

The fourth proportional to 418.88, 625.23 and 369.64 is: 551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 625.23 = 369.64 : x
  2. Step 2: Convert to fraction form
    418.88/625.23 = 369.64/x
  3. Step 3: Cross multiply
    418.88x = 625.23 × 369.64
  4. Step 4: Simplify right side
    418.88x = 231,110.02
  5. Step 5: Solve for x
    x = 231,110.02/418.88
  6. Step 6: Final answer
    x = 551.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.