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Finding the Fourth Proportional to 309.91, 425.89 and 295.64

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Solution

The fourth proportional to 309.91, 425.89 and 295.64 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.91 : 425.89 = 295.64 : x
  2. Step 2: Convert to fraction form
    309.91/425.89 = 295.64/x
  3. Step 3: Cross multiply
    309.91x = 425.89 × 295.64
  4. Step 4: Simplify right side
    309.91x = 125,910.12
  5. Step 5: Solve for x
    x = 125,910.12/309.91
  6. Step 6: Final answer
    x = 406.28

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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.