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Finding the Fourth Proportional to 189.33, 281.75 and 187.30

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Solution

The fourth proportional to 189.33, 281.75 and 187.30 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.33 : 281.75 = 187.30 : x
  2. Step 2: Convert to fraction form
    189.33/281.75 = 187.30/x
  3. Step 3: Cross multiply
    189.33x = 281.75 × 187.30
  4. Step 4: Simplify right side
    189.33x = 52,771.78
  5. Step 5: Solve for x
    x = 52,771.78/189.33
  6. Step 6: Final answer
    x = 278.73

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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.