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Finding the Fourth Proportional to 183.60, 275.23 and 129.53

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Solution

The fourth proportional to 183.60, 275.23 and 129.53 is: 194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 275.23 = 129.53 : x
  2. Step 2: Convert to fraction form
    183.60/275.23 = 129.53/x
  3. Step 3: Cross multiply
    183.60x = 275.23 × 129.53
  4. Step 4: Simplify right side
    183.60x = 35,651.39
  5. Step 5: Solve for x
    x = 35,651.39/183.60
  6. Step 6: Final answer
    x = 194.18

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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.