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Finding the Fourth Proportional to 168.81, 251.74 and 162.74

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Solution

The fourth proportional to 168.81, 251.74 and 162.74 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 251.74 = 162.74 : x
  2. Step 2: Convert to fraction form
    168.81/251.74 = 162.74/x
  3. Step 3: Cross multiply
    168.81x = 251.74 × 162.74
  4. Step 4: Simplify right side
    168.81x = 40,966.50
  5. Step 5: Solve for x
    x = 40,966.50/168.81
  6. Step 6: Final answer
    x = 242.68

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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.