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Finding the Fourth Proportional to 192.10, 286.81 and 157.77

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Solution

The fourth proportional to 192.10, 286.81 and 157.77 is: 235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 286.81 = 157.77 : x
  2. Step 2: Convert to fraction form
    192.10/286.81 = 157.77/x
  3. Step 3: Cross multiply
    192.10x = 286.81 × 157.77
  4. Step 4: Simplify right side
    192.10x = 45,250.01
  5. Step 5: Solve for x
    x = 45,250.01/192.10
  6. Step 6: Final answer
    x = 235.55

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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.