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Finding the Fourth Proportional to 192.42, 286.90 and 179.42

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Solution

The fourth proportional to 192.42, 286.90 and 179.42 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.42 : 286.90 = 179.42 : x
  2. Step 2: Convert to fraction form
    192.42/286.90 = 179.42/x
  3. Step 3: Cross multiply
    192.42x = 286.90 × 179.42
  4. Step 4: Simplify right side
    192.42x = 51,473.71
  5. Step 5: Solve for x
    x = 51,473.71/192.42
  6. Step 6: Final answer
    x = 267.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.