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Finding the Fourth Proportional to 264.90, 365.81 and 199.29

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Solution

The fourth proportional to 264.90, 365.81 and 199.29 is: 275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 365.81 = 199.29 : x
  2. Step 2: Convert to fraction form
    264.90/365.81 = 199.29/x
  3. Step 3: Cross multiply
    264.90x = 365.81 × 199.29
  4. Step 4: Simplify right side
    264.90x = 72,901.28
  5. Step 5: Solve for x
    x = 72,901.28/264.90
  6. Step 6: Final answer
    x = 275.20

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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.