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Finding the Fourth Proportional to 394.89, 545.06 and 229.14

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Solution

The fourth proportional to 394.89, 545.06 and 229.14 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.89 : 545.06 = 229.14 : x
  2. Step 2: Convert to fraction form
    394.89/545.06 = 229.14/x
  3. Step 3: Cross multiply
    394.89x = 545.06 × 229.14
  4. Step 4: Simplify right side
    394.89x = 124,895.62
  5. Step 5: Solve for x
    x = 124,895.62/394.89
  6. Step 6: Final answer
    x = 316.28

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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.