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Finding the Fourth Proportional to 418.49, 627.68 and 187.56

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Solution

The fourth proportional to 418.49, 627.68 and 187.56 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.49 : 627.68 = 187.56 : x
  2. Step 2: Convert to fraction form
    418.49/627.68 = 187.56/x
  3. Step 3: Cross multiply
    418.49x = 627.68 × 187.56
  4. Step 4: Simplify right side
    418.49x = 117,728.13
  5. Step 5: Solve for x
    x = 117,728.13/418.49
  6. Step 6: Final answer
    x = 281.32

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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.