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Finding the Fourth Proportional to 316.60, 436.78 and 229.08

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Solution

The fourth proportional to 316.60, 436.78 and 229.08 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.60 : 436.78 = 229.08 : x
  2. Step 2: Convert to fraction form
    316.60/436.78 = 229.08/x
  3. Step 3: Cross multiply
    316.60x = 436.78 × 229.08
  4. Step 4: Simplify right side
    316.60x = 100,057.56
  5. Step 5: Solve for x
    x = 100,057.56/316.60
  6. Step 6: Final answer
    x = 316.04

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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.