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Finding the Fourth Proportional to 166.88, 248.58 and 164.72

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Solution

The fourth proportional to 166.88, 248.58 and 164.72 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 248.58 = 164.72 : x
  2. Step 2: Convert to fraction form
    166.88/248.58 = 164.72/x
  3. Step 3: Cross multiply
    166.88x = 248.58 × 164.72
  4. Step 4: Simplify right side
    166.88x = 40,946.10
  5. Step 5: Solve for x
    x = 40,946.10/166.88
  6. Step 6: Final answer
    x = 245.36

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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.