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Finding the Fourth Proportional to 344.06, 518.51 and 309.86

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Solution

The fourth proportional to 344.06, 518.51 and 309.86 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 518.51 = 309.86 : x
  2. Step 2: Convert to fraction form
    344.06/518.51 = 309.86/x
  3. Step 3: Cross multiply
    344.06x = 518.51 × 309.86
  4. Step 4: Simplify right side
    344.06x = 160,665.51
  5. Step 5: Solve for x
    x = 160,665.51/344.06
  6. Step 6: Final answer
    x = 466.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.