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Finding the Fourth Proportional to 229.20, 316.80 and 204.50

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Solution

The fourth proportional to 229.20, 316.80 and 204.50 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 316.80 = 204.50 : x
  2. Step 2: Convert to fraction form
    229.20/316.80 = 204.50/x
  3. Step 3: Cross multiply
    229.20x = 316.80 × 204.50
  4. Step 4: Simplify right side
    229.20x = 64,784.02
  5. Step 5: Solve for x
    x = 64,784.02/229.20
  6. Step 6: Final answer
    x = 282.65

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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.