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Finding the Fourth Proportional to 179.60, 251.80 and 179.60

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Solution

The fourth proportional to 179.60, 251.80 and 179.60 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.60 : 251.80 = 179.60 : x
  2. Step 2: Convert to fraction form
    179.60/251.80 = 179.60/x
  3. Step 3: Cross multiply
    179.60x = 251.80 × 179.60
  4. Step 4: Simplify right side
    179.60x = 45,223.28
  5. Step 5: Solve for x
    x = 45,223.28/179.60
  6. Step 6: Final answer
    x = 251.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.