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Finding the Fourth Proportional to 265.48, 365.97 and 191.68

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Solution

The fourth proportional to 265.48, 365.97 and 191.68 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 365.97 = 191.68 : x
  2. Step 2: Convert to fraction form
    265.48/365.97 = 191.68/x
  3. Step 3: Cross multiply
    265.48x = 365.97 × 191.68
  4. Step 4: Simplify right side
    265.48x = 70,147.30
  5. Step 5: Solve for x
    x = 70,147.30/265.48
  6. Step 6: Final answer
    x = 264.23

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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.