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Finding the Fourth Proportional to 162.66, 225.41 and 160.68

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Solution

The fourth proportional to 162.66, 225.41 and 160.68 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 225.41 = 160.68 : x
  2. Step 2: Convert to fraction form
    162.66/225.41 = 160.68/x
  3. Step 3: Cross multiply
    162.66x = 225.41 × 160.68
  4. Step 4: Simplify right side
    162.66x = 36,218.08
  5. Step 5: Solve for x
    x = 36,218.08/162.66
  6. Step 6: Final answer
    x = 222.66

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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.