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Finding the Fourth Proportional to 183.18, 252.78 and 117.66

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Solution

The fourth proportional to 183.18, 252.78 and 117.66 is: 162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.18 : 252.78 = 117.66 : x
  2. Step 2: Convert to fraction form
    183.18/252.78 = 117.66/x
  3. Step 3: Cross multiply
    183.18x = 252.78 × 117.66
  4. Step 4: Simplify right side
    183.18x = 29,742.09
  5. Step 5: Solve for x
    x = 29,742.09/183.18
  6. Step 6: Final answer
    x = 162.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.