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Finding the Fourth Proportional to 183, 274.55 and 54.75

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Solution

The fourth proportional to 183, 274.55 and 54.75 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 274.55 = 54.75 : x
  2. Step 2: Convert to fraction form
    183/274.55 = 54.75/x
  3. Step 3: Cross multiply
    183x = 274.55 × 54.75
  4. Step 4: Simplify right side
    183x = 15,031.34
  5. Step 5: Solve for x
    x = 15,031.34/183
  6. Step 6: Final answer
    x = 82.14

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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.