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Finding the Fourth Proportional to 362.24, 502.26 and 342.80

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Solution

The fourth proportional to 362.24, 502.26 and 342.80 is: 475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 502.26 = 342.80 : x
  2. Step 2: Convert to fraction form
    362.24/502.26 = 342.80/x
  3. Step 3: Cross multiply
    362.24x = 502.26 × 342.80
  4. Step 4: Simplify right side
    362.24x = 172,174.73
  5. Step 5: Solve for x
    x = 172,174.73/362.24
  6. Step 6: Final answer
    x = 475.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.