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Finding the Fourth Proportional to 418.68, 627.96 and 110.57

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Solution

The fourth proportional to 418.68, 627.96 and 110.57 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.68 : 627.96 = 110.57 : x
  2. Step 2: Convert to fraction form
    418.68/627.96 = 110.57/x
  3. Step 3: Cross multiply
    418.68x = 627.96 × 110.57
  4. Step 4: Simplify right side
    418.68x = 69,430.81
  5. Step 5: Solve for x
    x = 69,430.81/418.68
  6. Step 6: Final answer
    x = 165.83

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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.