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Finding the Fourth Proportional to 309.39, 460.85 and 295.35

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Solution

The fourth proportional to 309.39, 460.85 and 295.35 is: 439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 460.85 = 295.35 : x
  2. Step 2: Convert to fraction form
    309.39/460.85 = 295.35/x
  3. Step 3: Cross multiply
    309.39x = 460.85 × 295.35
  4. Step 4: Simplify right side
    309.39x = 136,112.05
  5. Step 5: Solve for x
    x = 136,112.05/309.39
  6. Step 6: Final answer
    x = 439.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.