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Finding the Fourth Proportional to 229.86, 316.80 and 221.58

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Solution

The fourth proportional to 229.86, 316.80 and 221.58 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 316.80 = 221.58 : x
  2. Step 2: Convert to fraction form
    229.86/316.80 = 221.58/x
  3. Step 3: Cross multiply
    229.86x = 316.80 × 221.58
  4. Step 4: Simplify right side
    229.86x = 70,196.54
  5. Step 5: Solve for x
    x = 70,196.54/229.86
  6. Step 6: Final answer
    x = 305.39

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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.