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Finding the Fourth Proportional to 183, 274.71 and 154.47

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Solution

The fourth proportional to 183, 274.71 and 154.47 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 274.71 = 154.47 : x
  2. Step 2: Convert to fraction form
    183/274.71 = 154.47/x
  3. Step 3: Cross multiply
    183x = 274.71 × 154.47
  4. Step 4: Simplify right side
    183x = 42,434.45
  5. Step 5: Solve for x
    x = 42,434.45/183
  6. Step 6: Final answer
    x = 231.88

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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.