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Finding the Fourth Proportional to 189.96, 260.76 and 179.16

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Solution

The fourth proportional to 189.96, 260.76 and 179.16 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 260.76 = 179.16 : x
  2. Step 2: Convert to fraction form
    189.96/260.76 = 179.16/x
  3. Step 3: Cross multiply
    189.96x = 260.76 × 179.16
  4. Step 4: Simplify right side
    189.96x = 46,717.76
  5. Step 5: Solve for x
    x = 46,717.76/189.96
  6. Step 6: Final answer
    x = 245.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.