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Finding the Fourth Proportional to 189.07, 281.85 and 185.42

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Solution

The fourth proportional to 189.07, 281.85 and 185.42 is: 276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.07 : 281.85 = 185.42 : x
  2. Step 2: Convert to fraction form
    189.07/281.85 = 185.42/x
  3. Step 3: Cross multiply
    189.07x = 281.85 × 185.42
  4. Step 4: Simplify right side
    189.07x = 52,260.63
  5. Step 5: Solve for x
    x = 52,260.63/189.07
  6. Step 6: Final answer
    x = 276.41

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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.