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Finding the Fourth Proportional to 164.66, 226.58 and 159.65

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Solution

The fourth proportional to 164.66, 226.58 and 159.65 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 226.58 = 159.65 : x
  2. Step 2: Convert to fraction form
    164.66/226.58 = 159.65/x
  3. Step 3: Cross multiply
    164.66x = 226.58 × 159.65
  4. Step 4: Simplify right side
    164.66x = 36,172.70
  5. Step 5: Solve for x
    x = 36,172.70/164.66
  6. Step 6: Final answer
    x = 219.68

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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.