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Finding the Fourth Proportional to 344.52, 520.02 and 344.52

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Solution

The fourth proportional to 344.52, 520.02 and 344.52 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 520.02 = 344.52 : x
  2. Step 2: Convert to fraction form
    344.52/520.02 = 344.52/x
  3. Step 3: Cross multiply
    344.52x = 520.02 × 344.52
  4. Step 4: Simplify right side
    344.52x = 179,157.29
  5. Step 5: Solve for x
    x = 179,157.29/344.52
  6. Step 6: Final answer
    x = 520.02

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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.