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Finding the Fourth Proportional to 344.54, 515.64 and 262.92

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Solution

The fourth proportional to 344.54, 515.64 and 262.92 is: 393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 515.64 = 262.92 : x
  2. Step 2: Convert to fraction form
    344.54/515.64 = 262.92/x
  3. Step 3: Cross multiply
    344.54x = 515.64 × 262.92
  4. Step 4: Simplify right side
    344.54x = 135,572.07
  5. Step 5: Solve for x
    x = 135,572.07/344.54
  6. Step 6: Final answer
    x = 393.49

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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.