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Finding the Fourth Proportional to 339.49, 508.93 and 229.84

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Solution

The fourth proportional to 339.49, 508.93 and 229.84 is: 344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 508.93 = 229.84 : x
  2. Step 2: Convert to fraction form
    339.49/508.93 = 229.84/x
  3. Step 3: Cross multiply
    339.49x = 508.93 × 229.84
  4. Step 4: Simplify right side
    339.49x = 116,971.92
  5. Step 5: Solve for x
    x = 116,971.92/339.49
  6. Step 6: Final answer
    x = 344.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.