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Finding the Fourth Proportional to 418.67, 625.46 and 271.22

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Solution

The fourth proportional to 418.67, 625.46 and 271.22 is: 405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 625.46 = 271.22 : x
  2. Step 2: Convert to fraction form
    418.67/625.46 = 271.22/x
  3. Step 3: Cross multiply
    418.67x = 625.46 × 271.22
  4. Step 4: Simplify right side
    418.67x = 169,637.26
  5. Step 5: Solve for x
    x = 169,637.26/418.67
  6. Step 6: Final answer
    x = 405.18

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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.