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Finding the Fourth Proportional to 164.86, 226.15 and 156.03

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Solution

The fourth proportional to 164.86, 226.15 and 156.03 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 226.15 = 156.03 : x
  2. Step 2: Convert to fraction form
    164.86/226.15 = 156.03/x
  3. Step 3: Cross multiply
    164.86x = 226.15 × 156.03
  4. Step 4: Simplify right side
    164.86x = 35,286.18
  5. Step 5: Solve for x
    x = 35,286.18/164.86
  6. Step 6: Final answer
    x = 214.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.