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Finding the Fourth Proportional to 164.05, 226.41 and 156.76

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Solution

The fourth proportional to 164.05, 226.41 and 156.76 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 226.41 = 156.76 : x
  2. Step 2: Convert to fraction form
    164.05/226.41 = 156.76/x
  3. Step 3: Cross multiply
    164.05x = 226.41 × 156.76
  4. Step 4: Simplify right side
    164.05x = 35,492.03
  5. Step 5: Solve for x
    x = 35,492.03/164.05
  6. Step 6: Final answer
    x = 216.35

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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.