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Finding the Fourth Proportional to 183.66, 253.71 and 132.18

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Solution

The fourth proportional to 183.66, 253.71 and 132.18 is: 182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 253.71 = 132.18 : x
  2. Step 2: Convert to fraction form
    183.66/253.71 = 132.18/x
  3. Step 3: Cross multiply
    183.66x = 253.71 × 132.18
  4. Step 4: Simplify right side
    183.66x = 33,535.39
  5. Step 5: Solve for x
    x = 33,535.39/183.66
  6. Step 6: Final answer
    x = 182.59

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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.