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Finding the Fourth Proportional to 346.31, 523.24 and 342.96

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Solution

The fourth proportional to 346.31, 523.24 and 342.96 is: 518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 523.24 = 342.96 : x
  2. Step 2: Convert to fraction form
    346.31/523.24 = 342.96/x
  3. Step 3: Cross multiply
    346.31x = 523.24 × 342.96
  4. Step 4: Simplify right side
    346.31x = 179,450.39
  5. Step 5: Solve for x
    x = 179,450.39/346.31
  6. Step 6: Final answer
    x = 518.19

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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.