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Finding the Fourth Proportional to 309.66, 425.55 and 295.39

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Solution

The fourth proportional to 309.66, 425.55 and 295.39 is: 405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 425.55 = 295.39 : x
  2. Step 2: Convert to fraction form
    309.66/425.55 = 295.39/x
  3. Step 3: Cross multiply
    309.66x = 425.55 × 295.39
  4. Step 4: Simplify right side
    309.66x = 125,703.21
  5. Step 5: Solve for x
    x = 125,703.21/309.66
  6. Step 6: Final answer
    x = 405.94

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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.