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Finding the Fourth Proportional to 166.64, 228.24 and 156.80

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Solution

The fourth proportional to 166.64, 228.24 and 156.80 is: 214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 228.24 = 156.80 : x
  2. Step 2: Convert to fraction form
    166.64/228.24 = 156.80/x
  3. Step 3: Cross multiply
    166.64x = 228.24 × 156.80
  4. Step 4: Simplify right side
    166.64x = 35,788.03
  5. Step 5: Solve for x
    x = 35,788.03/166.64
  6. Step 6: Final answer
    x = 214.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.