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Finding the Fourth Proportional to 339.57, 468.84 and 229.20

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Solution

The fourth proportional to 339.57, 468.84 and 229.20 is: 316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.57 : 468.84 = 229.20 : x
  2. Step 2: Convert to fraction form
    339.57/468.84 = 229.20/x
  3. Step 3: Cross multiply
    339.57x = 468.84 × 229.20
  4. Step 4: Simplify right side
    339.57x = 107,458.13
  5. Step 5: Solve for x
    x = 107,458.13/339.57
  6. Step 6: Final answer
    x = 316.45

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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.