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Finding the Fourth Proportional to 395.10, 545.24 and 229.41

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Solution

The fourth proportional to 395.10, 545.24 and 229.41 is: 316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 545.24 = 229.41 : x
  2. Step 2: Convert to fraction form
    395.10/545.24 = 229.41/x
  3. Step 3: Cross multiply
    395.10x = 545.24 × 229.41
  4. Step 4: Simplify right side
    395.10x = 125,083.51
  5. Step 5: Solve for x
    x = 125,083.51/395.10
  6. Step 6: Final answer
    x = 316.59

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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.