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Finding the Fourth Proportional to 189.34, 281.91 and 178.06

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Solution

The fourth proportional to 189.34, 281.91 and 178.06 is: 265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 281.91 = 178.06 : x
  2. Step 2: Convert to fraction form
    189.34/281.91 = 178.06/x
  3. Step 3: Cross multiply
    189.34x = 281.91 × 178.06
  4. Step 4: Simplify right side
    189.34x = 50,197.15
  5. Step 5: Solve for x
    x = 50,197.15/189.34
  6. Step 6: Final answer
    x = 265.12

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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.