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Finding the Fourth Proportional to 350.71, 523.30 and 342.84

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Solution

The fourth proportional to 350.71, 523.30 and 342.84 is: 511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.71 : 523.30 = 342.84 : x
  2. Step 2: Convert to fraction form
    350.71/523.30 = 342.84/x
  3. Step 3: Cross multiply
    350.71x = 523.30 × 342.84
  4. Step 4: Simplify right side
    350.71x = 179,408.17
  5. Step 5: Solve for x
    x = 179,408.17/350.71
  6. Step 6: Final answer
    x = 511.56

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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.