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Finding the Fourth Proportional to 162.99, 226.15 and 161.60

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Solution

The fourth proportional to 162.99, 226.15 and 161.60 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 226.15 = 161.60 : x
  2. Step 2: Convert to fraction form
    162.99/226.15 = 161.60/x
  3. Step 3: Cross multiply
    162.99x = 226.15 × 161.60
  4. Step 4: Simplify right side
    162.99x = 36,544.31
  5. Step 5: Solve for x
    x = 36,544.31/162.99
  6. Step 6: Final answer
    x = 224.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.