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Finding the Fourth Proportional to 166.64, 249.06 and 160.16

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Solution

The fourth proportional to 166.64, 249.06 and 160.16 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 249.06 = 160.16 : x
  2. Step 2: Convert to fraction form
    166.64/249.06 = 160.16/x
  3. Step 3: Cross multiply
    166.64x = 249.06 × 160.16
  4. Step 4: Simplify right side
    166.64x = 39,889.45
  5. Step 5: Solve for x
    x = 39,889.45/166.64
  6. Step 6: Final answer
    x = 239.37

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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.