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Finding the Fourth Proportional to 179.01, 270.14 and 165.65

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Solution

The fourth proportional to 179.01, 270.14 and 165.65 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.01 : 270.14 = 165.65 : x
  2. Step 2: Convert to fraction form
    179.01/270.14 = 165.65/x
  3. Step 3: Cross multiply
    179.01x = 270.14 × 165.65
  4. Step 4: Simplify right side
    179.01x = 44,746.51
  5. Step 5: Solve for x
    x = 44,746.51/179.01
  6. Step 6: Final answer
    x = 249.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.