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Finding the Fourth Proportional to 344.81, 517.28 and 284.19

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Solution

The fourth proportional to 344.81, 517.28 and 284.19 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 517.28 = 284.19 : x
  2. Step 2: Convert to fraction form
    344.81/517.28 = 284.19/x
  3. Step 3: Cross multiply
    344.81x = 517.28 × 284.19
  4. Step 4: Simplify right side
    344.81x = 147,004.38
  5. Step 5: Solve for x
    x = 147,004.38/344.81
  6. Step 6: Final answer
    x = 426.34

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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.