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Finding the Fourth Proportional to 264.38, 364.76 and 164.79

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Solution

The fourth proportional to 264.38, 364.76 and 164.79 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.38 : 364.76 = 164.79 : x
  2. Step 2: Convert to fraction form
    264.38/364.76 = 164.79/x
  3. Step 3: Cross multiply
    264.38x = 364.76 × 164.79
  4. Step 4: Simplify right side
    264.38x = 60,110.77
  5. Step 5: Solve for x
    x = 60,110.77/264.38
  6. Step 6: Final answer
    x = 227.36

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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.