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Finding the Fourth Proportional to 189.05, 281.67 and 176.63

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Solution

The fourth proportional to 189.05, 281.67 and 176.63 is: 263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 281.67 = 176.63 : x
  2. Step 2: Convert to fraction form
    189.05/281.67 = 176.63/x
  3. Step 3: Cross multiply
    189.05x = 281.67 × 176.63
  4. Step 4: Simplify right side
    189.05x = 49,749.30
  5. Step 5: Solve for x
    x = 49,749.30/189.05
  6. Step 6: Final answer
    x = 263.16

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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.