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Finding the Fourth Proportional to 179.61, 267.81 and 170.79

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Solution

The fourth proportional to 179.61, 267.81 and 170.79 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.61 : 267.81 = 170.79 : x
  2. Step 2: Convert to fraction form
    179.61/267.81 = 170.79/x
  3. Step 3: Cross multiply
    179.61x = 267.81 × 170.79
  4. Step 4: Simplify right side
    179.61x = 45,739.27
  5. Step 5: Solve for x
    x = 45,739.27/179.61
  6. Step 6: Final answer
    x = 254.66

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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.