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Finding the Fourth Proportional to 179.70, 267.78 and 173.16

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Solution

The fourth proportional to 179.70, 267.78 and 173.16 is: 258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.70 : 267.78 = 173.16 : x
  2. Step 2: Convert to fraction form
    179.70/267.78 = 173.16/x
  3. Step 3: Cross multiply
    179.70x = 267.78 × 173.16
  4. Step 4: Simplify right side
    179.70x = 46,368.78
  5. Step 5: Solve for x
    x = 46,368.78/179.70
  6. Step 6: Final answer
    x = 258.03

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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.