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Finding the Fourth Proportional to 418.56, 627.81 and 282.48

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Solution

The fourth proportional to 418.56, 627.81 and 282.48 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 627.81 = 282.48 : x
  2. Step 2: Convert to fraction form
    418.56/627.81 = 282.48/x
  3. Step 3: Cross multiply
    418.56x = 627.81 × 282.48
  4. Step 4: Simplify right side
    418.56x = 177,345.06
  5. Step 5: Solve for x
    x = 177,345.06/418.56
  6. Step 6: Final answer
    x = 423.70

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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.