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Finding the Fourth Proportional to 265.82, 367.34 and 216.68

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Solution

The fourth proportional to 265.82, 367.34 and 216.68 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.82 : 367.34 = 216.68 : x
  2. Step 2: Convert to fraction form
    265.82/367.34 = 216.68/x
  3. Step 3: Cross multiply
    265.82x = 367.34 × 216.68
  4. Step 4: Simplify right side
    265.82x = 79,592.31
  5. Step 5: Solve for x
    x = 79,592.31/265.82
  6. Step 6: Final answer
    x = 299.43

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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.