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Finding the Fourth Proportional to 395.68, 546.15 and 229.90

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Solution

The fourth proportional to 395.68, 546.15 and 229.90 is: 317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 546.15 = 229.90 : x
  2. Step 2: Convert to fraction form
    395.68/546.15 = 229.90/x
  3. Step 3: Cross multiply
    395.68x = 546.15 × 229.90
  4. Step 4: Simplify right side
    395.68x = 125,559.89
  5. Step 5: Solve for x
    x = 125,559.89/395.68
  6. Step 6: Final answer
    x = 317.33

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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.