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Finding the Fourth Proportional to 351.60, 522.92 and 344.30

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Solution

The fourth proportional to 351.60, 522.92 and 344.30 is: 512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.60 : 522.92 = 344.30 : x
  2. Step 2: Convert to fraction form
    351.60/522.92 = 344.30/x
  3. Step 3: Cross multiply
    351.60x = 522.92 × 344.30
  4. Step 4: Simplify right side
    351.60x = 180,041.36
  5. Step 5: Solve for x
    x = 180,041.36/351.60
  6. Step 6: Final answer
    x = 512.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.