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Finding the Fourth Proportional to 264.21, 364.05 and 181.23

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Solution

The fourth proportional to 264.21, 364.05 and 181.23 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.21 : 364.05 = 181.23 : x
  2. Step 2: Convert to fraction form
    264.21/364.05 = 181.23/x
  3. Step 3: Cross multiply
    264.21x = 364.05 × 181.23
  4. Step 4: Simplify right side
    264.21x = 65,976.78
  5. Step 5: Solve for x
    x = 65,976.78/264.21
  6. Step 6: Final answer
    x = 249.71

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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.