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Finding the Fourth Proportional to 245.44, 366.72 and 167.84

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Solution

The fourth proportional to 245.44, 366.72 and 167.84 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 366.72 = 167.84 : x
  2. Step 2: Convert to fraction form
    245.44/366.72 = 167.84/x
  3. Step 3: Cross multiply
    245.44x = 366.72 × 167.84
  4. Step 4: Simplify right side
    245.44x = 61,550.28
  5. Step 5: Solve for x
    x = 61,550.28/245.44
  6. Step 6: Final answer
    x = 250.78

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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.