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Finding the Fourth Proportional to 166.34, 229.53 and 91.64

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Solution

The fourth proportional to 166.34, 229.53 and 91.64 is: 126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 229.53 = 91.64 : x
  2. Step 2: Convert to fraction form
    166.34/229.53 = 91.64/x
  3. Step 3: Cross multiply
    166.34x = 229.53 × 91.64
  4. Step 4: Simplify right side
    166.34x = 21,032.98
  5. Step 5: Solve for x
    x = 21,032.98/166.34
  6. Step 6: Final answer
    x = 126.45

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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.