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Finding the Fourth Proportional to 166.08, 228.72 and 162.49

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Solution

The fourth proportional to 166.08, 228.72 and 162.49 is: 223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 228.72 = 162.49 : x
  2. Step 2: Convert to fraction form
    166.08/228.72 = 162.49/x
  3. Step 3: Cross multiply
    166.08x = 228.72 × 162.49
  4. Step 4: Simplify right side
    166.08x = 37,164.71
  5. Step 5: Solve for x
    x = 37,164.71/166.08
  6. Step 6: Final answer
    x = 223.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.