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Finding the Fourth Proportional to 189.51, 285.32 and 169.66

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Solution

The fourth proportional to 189.51, 285.32 and 169.66 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.51 : 285.32 = 169.66 : x
  2. Step 2: Convert to fraction form
    189.51/285.32 = 169.66/x
  3. Step 3: Cross multiply
    189.51x = 285.32 × 169.66
  4. Step 4: Simplify right side
    189.51x = 48,407.39
  5. Step 5: Solve for x
    x = 48,407.39/189.51
  6. Step 6: Final answer
    x = 255.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.