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Finding the Fourth Proportional to 339.50, 468.49 and 192.14

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Solution

The fourth proportional to 339.50, 468.49 and 192.14 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.50 : 468.49 = 192.14 : x
  2. Step 2: Convert to fraction form
    339.50/468.49 = 192.14/x
  3. Step 3: Cross multiply
    339.50x = 468.49 × 192.14
  4. Step 4: Simplify right side
    339.50x = 90,012.37
  5. Step 5: Solve for x
    x = 90,012.37/339.50
  6. Step 6: Final answer
    x = 265.14

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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.