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Finding the Fourth Proportional to 418.90, 625.67 and 361.30

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Solution

The fourth proportional to 418.90, 625.67 and 361.30 is: 539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.90 : 625.67 = 361.30 : x
  2. Step 2: Convert to fraction form
    418.90/625.67 = 361.30/x
  3. Step 3: Cross multiply
    418.90x = 625.67 × 361.30
  4. Step 4: Simplify right side
    418.90x = 226,054.57
  5. Step 5: Solve for x
    x = 226,054.57/418.90
  6. Step 6: Final answer
    x = 539.64

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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.