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Finding the Fourth Proportional to 192.16, 286.70 and 190.72

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Solution

The fourth proportional to 192.16, 286.70 and 190.72 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 286.70 = 190.72 : x
  2. Step 2: Convert to fraction form
    192.16/286.70 = 190.72/x
  3. Step 3: Cross multiply
    192.16x = 286.70 × 190.72
  4. Step 4: Simplify right side
    192.16x = 54,679.42
  5. Step 5: Solve for x
    x = 54,679.42/192.16
  6. Step 6: Final answer
    x = 284.55

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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.