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Finding the Fourth Proportional to 229.18, 316.41 and 204.58

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Solution

The fourth proportional to 229.18, 316.41 and 204.58 is: 282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 316.41 = 204.58 : x
  2. Step 2: Convert to fraction form
    229.18/316.41 = 204.58/x
  3. Step 3: Cross multiply
    229.18x = 316.41 × 204.58
  4. Step 4: Simplify right side
    229.18x = 64,730.73
  5. Step 5: Solve for x
    x = 64,730.73/229.18
  6. Step 6: Final answer
    x = 282.45

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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.