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Finding the Fourth Proportional to 179.96, 268.55 and 150.80

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Solution

The fourth proportional to 179.96, 268.55 and 150.80 is: 225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 268.55 = 150.80 : x
  2. Step 2: Convert to fraction form
    179.96/268.55 = 150.80/x
  3. Step 3: Cross multiply
    179.96x = 268.55 × 150.80
  4. Step 4: Simplify right side
    179.96x = 40,495.81
  5. Step 5: Solve for x
    x = 40,495.81/179.96
  6. Step 6: Final answer
    x = 225.03

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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.