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Finding the Fourth Proportional to 395.50, 545.78 and 229.70

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Solution

The fourth proportional to 395.50, 545.78 and 229.70 is: 316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.50 : 545.78 = 229.70 : x
  2. Step 2: Convert to fraction form
    395.50/545.78 = 229.70/x
  3. Step 3: Cross multiply
    395.50x = 545.78 × 229.70
  4. Step 4: Simplify right side
    395.50x = 125,365.67
  5. Step 5: Solve for x
    x = 125,365.67/395.50
  6. Step 6: Final answer
    x = 316.98

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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.