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Finding the Fourth Proportional to 418.81, 628.93 and 272.81

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Solution

The fourth proportional to 418.81, 628.93 and 272.81 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 628.93 = 272.81 : x
  2. Step 2: Convert to fraction form
    418.81/628.93 = 272.81/x
  3. Step 3: Cross multiply
    418.81x = 628.93 × 272.81
  4. Step 4: Simplify right side
    418.81x = 171,578.39
  5. Step 5: Solve for x
    x = 171,578.39/418.81
  6. Step 6: Final answer
    x = 409.68

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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.