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Finding the Fourth Proportional to 166.23, 229.64 and 156.06

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Solution

The fourth proportional to 166.23, 229.64 and 156.06 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 229.64 = 156.06 : x
  2. Step 2: Convert to fraction form
    166.23/229.64 = 156.06/x
  3. Step 3: Cross multiply
    166.23x = 229.64 × 156.06
  4. Step 4: Simplify right side
    166.23x = 35,836.84
  5. Step 5: Solve for x
    x = 35,836.84/166.23
  6. Step 6: Final answer
    x = 215.59

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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.