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Finding the Fourth Proportional to 229.68, 316.83 and 159.78

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Solution

The fourth proportional to 229.68, 316.83 and 159.78 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 316.83 = 159.78 : x
  2. Step 2: Convert to fraction form
    229.68/316.83 = 159.78/x
  3. Step 3: Cross multiply
    229.68x = 316.83 × 159.78
  4. Step 4: Simplify right side
    229.68x = 50,623.10
  5. Step 5: Solve for x
    x = 50,623.10/229.68
  6. Step 6: Final answer
    x = 220.41

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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.