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Finding the Fourth Proportional to 316.21, 436.24 and 254.72

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Solution

The fourth proportional to 316.21, 436.24 and 254.72 is: 351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.21 : 436.24 = 254.72 : x
  2. Step 2: Convert to fraction form
    316.21/436.24 = 254.72/x
  3. Step 3: Cross multiply
    316.21x = 436.24 × 254.72
  4. Step 4: Simplify right side
    316.21x = 111,119.05
  5. Step 5: Solve for x
    x = 111,119.05/316.21
  6. Step 6: Final answer
    x = 351.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.