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Finding the Fourth Proportional to 179.36, 245.92 and 170.08

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Solution

The fourth proportional to 179.36, 245.92 and 170.08 is: 233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.36 : 245.92 = 170.08 : x
  2. Step 2: Convert to fraction form
    179.36/245.92 = 170.08/x
  3. Step 3: Cross multiply
    179.36x = 245.92 × 170.08
  4. Step 4: Simplify right side
    179.36x = 41,826.07
  5. Step 5: Solve for x
    x = 41,826.07/179.36
  6. Step 6: Final answer
    x = 233.20

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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.