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Finding the Fourth Proportional to 189.94, 262.68 and 168.10

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Solution

The fourth proportional to 189.94, 262.68 and 168.10 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 262.68 = 168.10 : x
  2. Step 2: Convert to fraction form
    189.94/262.68 = 168.10/x
  3. Step 3: Cross multiply
    189.94x = 262.68 × 168.10
  4. Step 4: Simplify right side
    189.94x = 44,156.51
  5. Step 5: Solve for x
    x = 44,156.51/189.94
  6. Step 6: Final answer
    x = 232.48

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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.