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Finding the Fourth Proportional to 309.54, 427.25 and 191.52

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Solution

The fourth proportional to 309.54, 427.25 and 191.52 is: 264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 427.25 = 191.52 : x
  2. Step 2: Convert to fraction form
    309.54/427.25 = 191.52/x
  3. Step 3: Cross multiply
    309.54x = 427.25 × 191.52
  4. Step 4: Simplify right side
    309.54x = 81,826.68
  5. Step 5: Solve for x
    x = 81,826.68/309.54
  6. Step 6: Final answer
    x = 264.35

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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.