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Finding the Fourth Proportional to 265.69, 396.91 and 211.64

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Solution

The fourth proportional to 265.69, 396.91 and 211.64 is: 316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 396.91 = 211.64 : x
  2. Step 2: Convert to fraction form
    265.69/396.91 = 211.64/x
  3. Step 3: Cross multiply
    265.69x = 396.91 × 211.64
  4. Step 4: Simplify right side
    265.69x = 84,000.97
  5. Step 5: Solve for x
    x = 84,000.97/265.69
  6. Step 6: Final answer
    x = 316.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.