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Finding the Fourth Proportional to 339.81, 468.96 and 229.23

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Solution

The fourth proportional to 339.81, 468.96 and 229.23 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 468.96 = 229.23 : x
  2. Step 2: Convert to fraction form
    339.81/468.96 = 229.23/x
  3. Step 3: Cross multiply
    339.81x = 468.96 × 229.23
  4. Step 4: Simplify right side
    339.81x = 107,499.70
  5. Step 5: Solve for x
    x = 107,499.70/339.81
  6. Step 6: Final answer
    x = 316.35

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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.