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Finding the Fourth Proportional to 221.31, 304.61 and 191.25

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Solution

The fourth proportional to 221.31, 304.61 and 191.25 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.31 : 304.61 = 191.25 : x
  2. Step 2: Convert to fraction form
    221.31/304.61 = 191.25/x
  3. Step 3: Cross multiply
    221.31x = 304.61 × 191.25
  4. Step 4: Simplify right side
    221.31x = 58,255.71
  5. Step 5: Solve for x
    x = 58,255.71/221.31
  6. Step 6: Final answer
    x = 263.23

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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.