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Finding the Fourth Proportional to 308.70, 425.97 and 192.24

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Solution

The fourth proportional to 308.70, 425.97 and 192.24 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 425.97 = 192.24 : x
  2. Step 2: Convert to fraction form
    308.70/425.97 = 192.24/x
  3. Step 3: Cross multiply
    308.70x = 425.97 × 192.24
  4. Step 4: Simplify right side
    308.70x = 81,888.47
  5. Step 5: Solve for x
    x = 81,888.47/308.70
  6. Step 6: Final answer
    x = 265.27

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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.