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Finding the Fourth Proportional to 316.38, 476.37 and 235.80

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Solution

The fourth proportional to 316.38, 476.37 and 235.80 is: 355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 476.37 = 235.80 : x
  2. Step 2: Convert to fraction form
    316.38/476.37 = 235.80/x
  3. Step 3: Cross multiply
    316.38x = 476.37 × 235.80
  4. Step 4: Simplify right side
    316.38x = 112,328.05
  5. Step 5: Solve for x
    x = 112,328.05/316.38
  6. Step 6: Final answer
    x = 355.04

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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.