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Finding the Fourth Proportional to 339.82, 468.90 and 192.42

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Solution

The fourth proportional to 339.82, 468.90 and 192.42 is: 265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 468.90 = 192.42 : x
  2. Step 2: Convert to fraction form
    339.82/468.90 = 192.42/x
  3. Step 3: Cross multiply
    339.82x = 468.90 × 192.42
  4. Step 4: Simplify right side
    339.82x = 90,225.74
  5. Step 5: Solve for x
    x = 90,225.74/339.82
  6. Step 6: Final answer
    x = 265.51

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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.