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Finding the Fourth Proportional to 335.78, 502.52 and 232.37

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Solution

The fourth proportional to 335.78, 502.52 and 232.37 is: 347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 502.52 = 232.37 : x
  2. Step 2: Convert to fraction form
    335.78/502.52 = 232.37/x
  3. Step 3: Cross multiply
    335.78x = 502.52 × 232.37
  4. Step 4: Simplify right side
    335.78x = 116,766.90
  5. Step 5: Solve for x
    x = 116,766.90/335.78
  6. Step 6: Final answer
    x = 347.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.