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Finding the Fourth Proportional to 316.82, 475.19 and 235.78

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Solution

The fourth proportional to 316.82, 475.19 and 235.78 is: 353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 475.19 = 235.78 : x
  2. Step 2: Convert to fraction form
    316.82/475.19 = 235.78/x
  3. Step 3: Cross multiply
    316.82x = 475.19 × 235.78
  4. Step 4: Simplify right side
    316.82x = 112,040.30
  5. Step 5: Solve for x
    x = 112,040.30/316.82
  6. Step 6: Final answer
    x = 353.64

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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.