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Finding the Fourth Proportional to 264.28, 365.16 and 217.57

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Solution

The fourth proportional to 264.28, 365.16 and 217.57 is: 300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 365.16 = 217.57 : x
  2. Step 2: Convert to fraction form
    264.28/365.16 = 217.57/x
  3. Step 3: Cross multiply
    264.28x = 365.16 × 217.57
  4. Step 4: Simplify right side
    264.28x = 79,447.86
  5. Step 5: Solve for x
    x = 79,447.86/264.28
  6. Step 6: Final answer
    x = 300.62

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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.