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Finding the Fourth Proportional to 350.20, 523.49 and 341.56

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Solution

The fourth proportional to 350.20, 523.49 and 341.56 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.20 : 523.49 = 341.56 : x
  2. Step 2: Convert to fraction form
    350.20/523.49 = 341.56/x
  3. Step 3: Cross multiply
    350.20x = 523.49 × 341.56
  4. Step 4: Simplify right side
    350.20x = 178,803.24
  5. Step 5: Solve for x
    x = 178,803.24/350.20
  6. Step 6: Final answer
    x = 510.57

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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.