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Finding the Fourth Proportional to 351.20, 524.98 and 342.56

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Solution

The fourth proportional to 351.20, 524.98 and 342.56 is: 512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.20 : 524.98 = 342.56 : x
  2. Step 2: Convert to fraction form
    351.20/524.98 = 342.56/x
  3. Step 3: Cross multiply
    351.20x = 524.98 × 342.56
  4. Step 4: Simplify right side
    351.20x = 179,837.15
  5. Step 5: Solve for x
    x = 179,837.15/351.20
  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.