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Finding the Fourth Proportional to 265.13, 364.34 and 221.39

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Solution

The fourth proportional to 265.13, 364.34 and 221.39 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.13 : 364.34 = 221.39 : x
  2. Step 2: Convert to fraction form
    265.13/364.34 = 221.39/x
  3. Step 3: Cross multiply
    265.13x = 364.34 × 221.39
  4. Step 4: Simplify right side
    265.13x = 80,660.13
  5. Step 5: Solve for x
    x = 80,660.13/265.13
  6. Step 6: Final answer
    x = 304.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.