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Finding the Fourth Proportional to 183.68, 275.58 and 75.47

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Solution

The fourth proportional to 183.68, 275.58 and 75.47 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.68 : 275.58 = 75.47 : x
  2. Step 2: Convert to fraction form
    183.68/275.58 = 75.47/x
  3. Step 3: Cross multiply
    183.68x = 275.58 × 75.47
  4. Step 4: Simplify right side
    183.68x = 20,796.64
  5. Step 5: Solve for x
    x = 20,796.64/183.68
  6. Step 6: Final answer
    x = 113.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.