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Finding the Fourth Proportional to 339.70, 468.78 and 229.20

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Solution

The fourth proportional to 339.70, 468.78 and 229.20 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.70 : 468.78 = 229.20 : x
  2. Step 2: Convert to fraction form
    339.70/468.78 = 229.20/x
  3. Step 3: Cross multiply
    339.70x = 468.78 × 229.20
  4. Step 4: Simplify right side
    339.70x = 107,441.76
  5. Step 5: Solve for x
    x = 107,441.76/339.70
  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.