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Finding the Fourth Proportional to 229.50, 315.78 and 221.52

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Solution

The fourth proportional to 229.50, 315.78 and 221.52 is: 304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 315.78 = 221.52 : x
  2. Step 2: Convert to fraction form
    229.50/315.78 = 221.52/x
  3. Step 3: Cross multiply
    229.50x = 315.78 × 221.52
  4. Step 4: Simplify right side
    229.50x = 69,951.59
  5. Step 5: Solve for x
    x = 69,951.59/229.50
  6. Step 6: Final answer
    x = 304.80

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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.