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Finding the Fourth Proportional to 192.74, 285.71 and 189.68

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Solution

The fourth proportional to 192.74, 285.71 and 189.68 is: 281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 285.71 = 189.68 : x
  2. Step 2: Convert to fraction form
    192.74/285.71 = 189.68/x
  3. Step 3: Cross multiply
    192.74x = 285.71 × 189.68
  4. Step 4: Simplify right side
    192.74x = 54,191.10
  5. Step 5: Solve for x
    x = 54,191.10/192.74
  6. Step 6: Final answer
    x = 281.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.