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Finding the Fourth Proportional to 166.40, 229.16 and 135.26

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Solution

The fourth proportional to 166.40, 229.16 and 135.26 is: 186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 229.16 = 135.26 : x
  2. Step 2: Convert to fraction form
    166.40/229.16 = 135.26/x
  3. Step 3: Cross multiply
    166.40x = 229.16 × 135.26
  4. Step 4: Simplify right side
    166.40x = 30,995.51
  5. Step 5: Solve for x
    x = 30,995.51/166.40
  6. Step 6: Final answer
    x = 186.27

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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.