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Finding the Fourth Proportional to 229.23, 316.48 and 204.62

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Solution

The fourth proportional to 229.23, 316.48 and 204.62 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 316.48 = 204.62 : x
  2. Step 2: Convert to fraction form
    229.23/316.48 = 204.62/x
  3. Step 3: Cross multiply
    229.23x = 316.48 × 204.62
  4. Step 4: Simplify right side
    229.23x = 64,758.14
  5. Step 5: Solve for x
    x = 64,758.14/229.23
  6. Step 6: Final answer
    x = 282.50

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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.