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Finding the Fourth Proportional to 344.92, 518.08 and 293.64

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Solution

The fourth proportional to 344.92, 518.08 and 293.64 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.92 : 518.08 = 293.64 : x
  2. Step 2: Convert to fraction form
    344.92/518.08 = 293.64/x
  3. Step 3: Cross multiply
    344.92x = 518.08 × 293.64
  4. Step 4: Simplify right side
    344.92x = 152,129.01
  5. Step 5: Solve for x
    x = 152,129.01/344.92
  6. Step 6: Final answer
    x = 441.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.