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Finding the Fourth Proportional to 418.07, 627.25 and 271.81

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Solution

The fourth proportional to 418.07, 627.25 and 271.81 is: 407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.07 : 627.25 = 271.81 : x
  2. Step 2: Convert to fraction form
    418.07/627.25 = 271.81/x
  3. Step 3: Cross multiply
    418.07x = 627.25 × 271.81
  4. Step 4: Simplify right side
    418.07x = 170,489.69
  5. Step 5: Solve for x
    x = 170,489.69/418.07
  6. Step 6: Final answer
    x = 407.81

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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.